Skip to main content
Log in

On the closedness of the sum of two closed operators

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Agmon, S., Douglis, A., Nirenberg, L.: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II. Commun. Pure Appl. Math.17, 35–92 (1964)

    Google Scholar 

  2. Bourgain, J.: Some remarks on Banach spaces in which martingale difference sequences are unconditional. Ark. Mat.21, 163–168 (1983)

    Google Scholar 

  3. Burkholder, D.L.: A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional. Ann. Probab.9, 997–1011 (1981)

    Google Scholar 

  4. Burkholder, D.L.: A geometric condition that implies the existence of certain singular intergrals of Banach-space-valued functions. In: Conference on harmonic analysis in honor of Antoni Zygmund (Chicago 1981), pp. 270–286. Belmont: Wadsworth 1983

    Google Scholar 

  5. Burkholder, D.L.: Martingales and Fourier analysis in Banach spaces. In: Probability and analysis (Varenna 1985), pp. 61–108; Lect. Notes Math. 1206. Berlin Heidelberg New York: Springer 1986

    Google Scholar 

  6. Ciorănescu, I., Zsidó, L.: Analytic generators for one-parameter groups. Tôhoku Math. J. II Ser.28, 327–362 (1976)

    Google Scholar 

  7. Cobos, F.: Some spaces in which martingale difference sequences are unconditional. Bull. Pol. Acad. Sci., Math.34, 695–703 (1986)

    Google Scholar 

  8. Da Prato, G., Grisvard, P.: Sommes d'opérateurs linéaires et équations différentielles opérationnelles J. Math. Pures Appl., IX Ser.54, 305–387 (1975)

    Google Scholar 

  9. Dunford, N., Schwartz, J.T.: Linear operators, Part I. New York: Interscience 1958

    Google Scholar 

  10. Marschall, E.: On the analytical generator of a group of operators. Indiana Univ. Math. J.35, 289–309 (1986)

    Google Scholar 

  11. McConnell, T.R.: On Fourier multiplier transformations of Banach-valued functions. Trans. Am. Math. Soc.285, 739–757 (1984)

    Google Scholar 

  12. Peetre, J.: Sur la transformation de Fourier des fonctions à valeurs vectorielles. Rend. Sem. Mat. Univ. Padova.42, 15–26 (1969)

    Google Scholar 

  13. Rubio de Francia, J.L.: Martingale and integral transforms of Banach space valued functions. In: Probability and Banach spaces (Proceedings, Zaragoza 1985), pp. 195–222; Lect. Notes Math.1221. Berlin Heidelberg New York: Springer 1986

    Google Scholar 

  14. Seeley, R.: Norms and domains of the complex powersA rB . Am. J. Math.93, 299–309 (1971)

    Google Scholar 

  15. Triebel, H.: Interpolation theory, function spaces, differential operators. Amsterdam, New York, Oxford: North Holland 1978

    Google Scholar 

  16. von Wahl, W.: The equationú+A(t)u=f in a Hilbert space andL p-estimates for parabolic equations. J. Lond. Math. Soc., II Ser.25, 483–497 (1982)

    Google Scholar 

  17. Yagi, A.: Coincidence entre des espaces d'interpolations et des domains de puissances fractionnaires d'opérateurs J.R. Acad. Sci. Paris, Ser I299, 173–176 (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dore, G., Venni, A. On the closedness of the sum of two closed operators. Math Z 196, 189–201 (1987). https://doi.org/10.1007/BF01163654

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01163654

Keywords

Navigation