Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Erschienen in:
Buchtitelbild

2019 | OriginalPaper | Buchkapitel

On the Mathematical Work of Professor Manuel López-Pellicer

In Honour of Manuel López-Pellicer

verfasst von : Juan Carlos Ferrando

Erschienen in: Descriptive Topology and Functional Analysis II

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

We examine selected topics of the research work of professor Manuel López-Pellicer. After an introductory section, the paper is divided in four main sections, which include his publications on Set Topology, Locally Convex Space Theory, \(C_{p}\)-theory and Descriptive Topology. We shall also glance at his work on Popular Mathematics.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren
Nächstes Kapitel A Note on Nonautonomous Discrete Dynamical Systems
Literatur
1.
2.
3.
Angosto, C., Kąkol, J., López-Pellicer, M.: A quantitative approach to weak compactness in Fréchet spaces and spaces C(X). J. Math. Anal. Appl. 403, 13–22 (2013)MathSciNetMATHCrossRef
4.
Angosto, C., Kąkol, J., Kubzdela, A., López-Pellicer, M.: A quantitative version of Krein’s theorem for Fréchet spaces. Arch. Math. (Basel) 101, 65–77 (2013)MathSciNetMATHCrossRef
5.
Arias de Reyna, J.: \(\ell _{0}^{\infty }(\varSigma )\) no es totalmente tonelado. Rev. R. Acad. Cienc. Exactas, Fís. Nat. (Esp.) 79, 77–78 (1983)MathSciNet
6.
Arkhangel’skiĭ, A.V.: Topological Function Spaces. Mathematics and Its Applications. Kluwer Academic, Dordrecht (1992)CrossRef
7.
Asanov, M.O.: On cardinal invariants of spaces of continuous functions. Sovr. Topol. i Teor. Mnozhestv. Izhevsk. 2, 8–12 (1979)
8.
Baars, J., de Groot, J., Pelant, J.: Function spaces of completely metrizable spaces. Trans. Am. Math. Soc. 340, 871–883 (1993)MathSciNetMATHCrossRef
9.
Blasco Olcina, J.L., López-Pellicer, M.: Algunas propiedades del ejemplo de Tychonoff de un espacio regular que no es completamente regular. Collect. Math. 25, 213–221 (1974)MathSciNet
10.
Bru, R., López-Pellicer, M.: Extensions of algebraic Jordan basis. Glas. Mat. Ser. III 20(40), 289–292 (1985)MathSciNetMATH
11.
12.
13.
Cascales, B., Orihuela, J.: On pointwise and weak compactness in spaces of continuous functions. Bull. Soc. Math. Belg. Ser. B 40, 331–352 (1988)MathSciNetMATH
14.
15.
16.
Cascales, B., Kąkol, J., Saxon, S.: Metrizability versus Fréchet-Urysohn property. Proc. Am. Math. Soc. 131, 3623–3631 (2003)
17.
Christensen, J.P.R.: Topology and Borel Structure: Descriptive Topology and Set Theory with Applications to Functional Analysis and Measure Theory. North-Holland Mathematics Studies, vol. 10. North Holland, Amsterdam (1974)
18.
Díaz, J.C., Florencio, M., Paúl, P.J.: A uniform boundedness theorem for \(L_{\infty }(\mu, X)\). Arch. Math. 60, 73–78 (1993)MathSciNetMATH
19.
20.
Drewnowski, L., Florencio, M., Paúl, P.J.: The space of Pettis integrable functions is barrelled. Proc. Am. Math. Soc. 114, 687–694 (1992)MathSciNetMATHCrossRef
21.
Fabian, M., Hájek, P., Montesinos, V., Zizler, V.: A quantitative version of Krein’s theorem. Rev. Mat. Iberoam. 21, 237–248 (2005)MathSciNetMATHCrossRef
22.
Ferrando, J.C.: A weakly analytic locally convex space which is not \(K\)-analytic. Bull. Austral. Math. Soc. 79, 31–35 (2009)MathSciNetMATH
23.
Ferrando, J.C.: Some characterizations for \(\upsilon \)X to be Lindelöf \(\varSigma \) or \(K\)-analytic in terms of \({C_{p}}\)(X). Topol. Appl. 156, 823–830 (2009)MATH
24.
Ferrando, J.C., Ferrer, J., López-Pellicer, M.: Strong barrelledness properties in Lebesgue-Bochner spaces. Bull. Belg. Math. Soc. 1, 73–78 (1994)MathSciNetMATH
25.
Ferrando, J.C., Kąkol, J.: On precompact sets in spaces \({C_{c}}\)(X). Georgian Math. J. 20, 247–254 (2013)
26.
Ferrando, J.C., Kąkol, J., López-Pellicer, M.: On a problem of Horvath concerning barrelled spaces of vector valued continuous functions vanishing at infinity. Bull. Belg. Math. Soc. Simon Stevin 11, 127–132 (2004)
27.
Ferrando, J.C., Kąkol, J., López-Pellicer, M.: Bounded tightness conditions for locally convex spaces and spaces C(X). J. Math. Anal. Appl. 297, 518–526 (2004)
28.
Ferrando, J.C., Kąkol, J., López-Pellicer, M.: Necessary and sufficient conditions for precompact sets to be metrizable. Bull. Austral. Math. Soc. 74, 7–13 (2006)MathSciNetCrossRef
29.
Ferrando, J.C., Kąkol, J., López-Pellicer, M.: A characterization of trans-separable spaces. Bull. Belg. Math. Soc. Simon Stevin 14, 493–498 (2007)
30.
Ferrando, J.C., Kąkol, J., López-Pellicer, M.: A revised closed graph theorem for quasi-Suslin spaces. Czechoslovak Math. J. 59, 1115–1122 (2009)MathSciNetMATHCrossRef
31.
Ferrando, J.C., Kąkol, J., López-Pellicer, M.: Spaces C(X) with ordered bases. Topol. Appl. 208, 30–39 (2016)
32.
Ferrando, J.C., Kąkol, J., López-Pellicer, M.: On spaces \({C^{b}}\)(X) weakly \(K\)-analytic. Math. Nachr. 290, 2612–2618 (2017)
33.
Ferrando, J.C., Kąkol, J., López-Pellicer, M., Muñoz, M.: Some topological cardinal inequalities for spaces \({C_{p}}\)(X). Topol. Appl. 160, 1102–1107 (2013)
34.
Ferrando, J.C., Kąkol, J., López-Pellicer, M., Saxon, S.A.: Tightness and distinguished Fréchet spaces, J. Math. Anal. Appl. 324, 862–881 (2006)MathSciNetMATHCrossRef
35.
Ferrando, J.C., Kąkol, J., López-Pellicer, M., Saxon, S.A.: Quasi-Suslin weak duals. J. Math. Anal. Appl. 339, 1253–1263 (2008)MathSciNetMATHCrossRef
36.
Ferrando, J.C., Kąkol, J., López-Pellicer, M., Śliwa, W.: Web-compact spaces, Fréchet-Urysohn groups and a Suslin closed graph theorem. Math. Nachr. 283, 704–711 (2010)MathSciNetMATHCrossRef
37.
Ferrando, J.C., López-Pellicer, M.: Una propiedad de M. Valdivia, espacios de tipo \((L)\) y condiciones débiles de tonelación. Rev. R. Acad. Cienc. Exactas, Fís. Nat. (Esp.) 83, 25–34 (1989)
38.
Ferrando, J.C., López-Pellicer, M.: Quasi-suprabarrelled spaces. J. Austral. Math. Soc. (Ser. A) 46, 137–145 (1989)MathSciNetMATH
39.
40.
Ferrando, J.C., López-Pellicer, M.: Barrelled spaces of class \(n\) and of class \(\aleph _{0}\). Disert. Sem. Mat. Fund. UNED 4 (1992)
41.
Ferrando, J.C., López-Pellicer, M.: Strong barrelledness properties in \(\ell _{0}^{\infty }(X,\mathscr {A})\) and bounded finite additive measures. Math. Ann. 287, 727–736 (1990)
42.
Ferrando, J.C., López-Pellicer, M.: Barrelled spaces of class \(\aleph _{0}\) which are not totally barrelled. Math. Jpn. 37, 465–4471 (1992). Correction, Math. Jpn. 38, 1197–1199 (1993)
43.
Ferrando, J.C., López-Pellicer, M., Sánchez Ruiz, L.M.: Metrizable Barrelled Spaces. Pitman Research Notes in Mathematics Series, vol. 332. Longman Scientific & Technical, London (1995)
44.
Ferrando, J.C., Lüdkovsky, S.V.: Some barrelledness properties of \(c_{0}(\varOmega , X)\). J. Math. Anal. Appl. 274, 577–585 (2002)MathSciNetMATH
45.
Ferrando, J.C., Sánchez Ruiz, L.M.: A maximal class of spaces with strong barrelledness conditions. Proc. R. Irish Acad. 92A, 69–75 (1992)MathSciNetMATH
46.
Ferrando, J.C., Sánchez Ruiz, L.M.: A survey on recent advances on the Nikodým boundedness thorem and spaces of simple functions. Rocky Mt. J. Math. 34, 139–172 (2004)MATHCrossRef
47.
Ferrando, J.C., Sánchez Ruiz, L.M.: On \(C\)-Suslin spaces. Math. Nachr. 288, 898–904 (2015)MathSciNetMATH
48.
Ferrer, J.R., López-Pellicer, M., Sánchez Ruiz, L.M.: Pták homomorphism theorem revisited. Czechoslovak Math. J. 50, 341–346 (2000)MathSciNetMATHCrossRef
49.
50.
Gabriyelyan, S.S., Kąkol, J., Kubzdela, A., López-Pellicer, M.: On topological properties of Fréchet locally convex spaces with the weak topology. Topol. Appl. 192, 123–127 (2015)MathSciNetMATHCrossRef
51.
Gabriyelyan, S.S., Kąkol, J., Leiderman, A.: On topological groups with a small base and metrizability. Fundam. Math. 229, 129–158 (2015)MathSciNetMATHCrossRef
52.
Gillman, L., Jerison, M.: Rings of Continuous Functions. Van Nostrand, Princeton (1960)MATHCrossRef
53.
54.
55.
56.
Kąkol, J., López-Pellicer, M.: On countable bounded tightness for spaces \({C_{p}}\)(X). J. Math. Anal. Appl. 280, 155–162 (2003)
57.
Kąkol, J., López-Pellicer, M.: Compacts coverings for Baire locally convex spaces. J. Math. Anal. Appl. 332, 965–974 (2007)MathSciNetMATHCrossRef
58.
Kąkol, J., López-Pellicer, M.: On Valdivia strong version of Nikodym boundedness property: J. Math. Anal. Appl. 446, 1–17 (2017)MathSciNetMATHCrossRef
59.
60.
Kąkol, J., Kubiś, W., López-Pellicer, M.: Descriptive Topology in Selected Topics of Functional Analysis. Developments in Mathematics, vol. 24. Springer, Dordrecht (2011)
61.
Kąkol, J., López-Pellicer, M., Martín-Peinador, E., Tarieladze, V.: Lindelöf spaces C(X) over topological groups. Forum Math. 20, 201–212 (2008)
62.
Kąkol, J., López-Pellicer, M., Moll, S.: Banach disks and barrelledness properties of metrizable \(c_{0}(\varOmega ,X)\). Mediterr. J. Math. 1, 81–91 (2004)
63.
Kąkol, J., López-Pellicer, M., Śliwa, W.: Weakly \(K\)-analytic spaces and the three-spaces property for analyticity. J. Math. Anal. Appl. 362, 90–99 (2010)
64.
Kąkol, J., López Pellicer, M., Todd, A.R.: A topological vector space is Fréchet-Urysohn if and only if it has bounded tightness. Bull. Belg. Math. Soc. Simon Stevin 16, 313–317 (2009)
65.
Köthe, G.: Topological Vector Spaces I. Springer, Heidelberg (1969)MATH
66.
67.
Kunzinger, M.: Barrelledness, Baire-like and \(\left( LF\right)\)-Spaces. Pitman Research Notes in Mathematics Series, vol. 298. Longman Scientific & Technical, London (1993)
68.
López-Alfonso, S.: On schachermayer and valdivia results in algebras of Jordan measurable sets. Rev. R. Acad. Cienc. Exactas, Fís. Nat. (Esp.) 110, 799–808 (2016)MathSciNetMATHCrossRef
69.
López-Alfonso, S., Mas. J., Moll, S.: Nikodym boundedness for webs in \(\sigma \)-algebras. Rev. R. Acad. Cienc. Exactas, Fís. Nat. (Esp.) 110, 711–722 (2016)
70.
López Molina, J.A., López-Pellicer, M.: Sobre la existencia de topologías \(T^{j}\) regulares. Collect. Math. 29, 85–88 (1978)MathSciNet
71.
López-Pellicer, M.: Un ejemplo de un espacio topológico completamente regular que el \(k\)-espacio correspondiente no es completamente regular. Rev. R. Acad. Cienc. Exactas, Fís. Nat. (Esp.) 48, 111–118 (1974)
72.
López-Pellicer, M.: Una nota sobre la propiedad de Blumberg. Rev. R. Acad. Cienc. Exactas, Fís. Nat. (Esp.) 78, 147–150 (1984)
73.
74.
López-Pellicer, M.: Banach. Historia de la Matemática en el siglo XX. Serie Historia de la Ciencia. Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid, pp. 221–270 (1998)
75.
López-Pellicer, M.: Centenario de John von Neumann (1903–1957). Arbor 175, 9–33 (2003)
76.
López-Pellicer, M.: Presentación de la obra de H. Poincaré (1854–1912). Arbor 178, 621–624 (2004)CrossRef
77.
López-Pellicer, M.: Matemáticas: Siglo XX y su futuro. Anticipaciones académicas II. Instituto de España. Madrid, pp. 79–148 (2005). ISBN: 84-85559-62-2 y 84-85559-61-4
78.
López-Pellicer, M.: Los protagonistas de los grandes avances científicos. Introducción a la Ingeniería. Limusa (Méjico), pp. 213–264 (2007). ISBN 978-968-18-7161-1
79.
López-Pellicer, M.: Euler: Anécdotas de su vida. Tricentenario del nacimiento de Leonhard Euler (1707-1783), Eds. Alberto Galindo and Manuel López-Pellicer. Instituto de España, pp. 261–276. ISBN 978-84-85559-66-4 (2009)
80.
López-Pellicer, M.: Ramanujan: Un matemático ejemplar para todos. Ciencias.digital 10, 114–125 (2012)
81.
López-Pellicer, M.: Two classes of metrizable spaces \(\ell _{c}\)-invariant. In: Descriptive Topology and Functional Analysis. Springer Proceedings in Mathematics and Statistics, vol. 80, pp. 95–116. Springer, Cham (2014)
82.
López-Pellicer, M.: Recuerdo de Julio Rey Pastor. Rev. R. Acad. Cienc. Exactas, Fís. Nat. (Esp.) 108, 55–72 (2015)
83.
López-Pellicer, M., Bru, R.: Jordan basis for an infinite-dimensional space. Portugal. Math. 43, 153–156 (1985/1986)
84.
López-Pellicer, M., Moll, S.: On suprabarrelledness of \(c_{0}(\varOmega ,X)\). Rev. R. Acad. Cienc. Exactas, Fís. Nat. (Esp.) 97, 37–40 (2003)
85.
López-Pellicer, M., Moll, S.: Unitary sequences and classes of barrelledness. Rev. R. Acad. Cienc. Exactas, Fís. Nat. (Esp.) 97, 367–376 (2003)
86.
López-Pellicer, M., Tarazona, E.: Immersion in products of regular topological spaces. Arch. Math. (Basel) 40, 170–174 (1983)
87.
Mazur, S.: Sur la structure des fonctionelles linéaires dans certains espaces \((L)\). Ann. Soc. Polon. Math. 19, 241 (1946)
88.
Mendoza, J.: Barrelledness conditions on \(S(\varSigma , E)\) and \(B(\varSigma , E)\). Math. Ann. 261, 11–22 (1982)MathSciNetMATH
89.
Mendoza, J.: Necessary and sufficient conditions for C(X, E) to be barrelled or infrabarrelled. Simon Stevin 57, 103–123 (1983)MathSciNetMATH
90.
91.
Nagata, J.: On lattices of functions on topological spaces and of functions on uniform spaces. Osaka Math. J. 1, 166–181 (1949)MathSciNetMATH
92.
Narayanaswami, P.P., Saxon, S.A.: \(\left( LF\right)\) spaces, quasi-Baire spaces and the strongest locally convex topology. Math. Ann. 274, 627–641 (1986)MathSciNetMATH
93.
Nikodým, O. M. Sur les familles bornées de fonctions parfaitement additives d’ensembles abstrait. Monatsh. Math. u. Phys. 40, 418–426 (1933)MathSciNetMATHCrossRef
94.
95.
Pérez Carreras, P., Bonet, J.: Barrelled Locally Convex Spaces. Mathematical Studies, vol. 131. North Holland (1987)
96.
97.
98.
Rodriguez Salinas, B.: Sobre la clase del espacio tonelado \(l_{0}^{\infty }\left( \Sigma \right)\). Rev. R. Acad. Cienc. Exactas, Fís. Nat. (Esp.) 74, 827–829 (1980)
99.
Saxon, S.A.: Nuclear and product spaces, Baire-like spaces and the strongest locally convex topology. Math. Ann. 197, 87–106 (1972)MathSciNetMATHCrossRef
100.
Saxon, S.A.: Review of the Book: Barrelled Locally Convex Spaces, by P.P. Carreras, J. Bonet. Bulletin (New Series), vol.24, pp. 424–435. American Mathematical Society (1991)
101.
Saxon, S.A., Narayanaswami, P.P.: Metrizable \((LF)\)-spaces, \((db)\)-spaces and the separable quotient problem. Bull. Austral. Math. Soc. 23, 65–80 (1981)MathSciNetMATH
102.
Schachermayer, W.: On some classical measure-theoretic theorems for non-\(\sigma \)-complete Boolean algebras. Dissertationes Math. (Rozprawy Mat.) 214, 1–32 (1982)MathSciNetMATH
103.
104.
Valdivia, M.: Sobre el teorema de la gráfica cerrada. Collect. Math. 22, 51–72 (1971)MathSciNet
105.
106.
Valdivia, M.: On Suprabarrelled Spaces. In: Functional Analysis, Holomorphy and Approximation Theory. Lecture Notes in Mathematics, vol. 843, pp. 572–580. Springer, Berlin (1981)
107.
Valdivia, M.: Topics in Locally Convex Spaces. Mathematical Studies, vol. 67. North Holland (1982)
108.
109.
110.
111.
Wheeler, R.F.: Weak and pointwise compactness in the space of bounded continuous functions. Trans. Am. Math. Soc. 266, 515–530 (1981)MathSciNetMATHCrossRef
112.
Metadaten
Titel
On the Mathematical Work of Professor Manuel López-Pellicer
verfasst von
Juan Carlos Ferrando
Copyright-Jahr
2019
Buch
Descriptive Topology and Functional Analysis II

Print ISBN: 978-3-030-17375-3

Electronic ISBN: 978-3-030-17376-0

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-030-17376-0_1