Operator Theory: Nonclassical Problems

Sergei G. Pyatkov

Published by De Gruyter 2002

Operator Theory

Nonclassical Problems

Sergei G. Pyatkov

Volume 33 in the series Inverse and Ill-Posed Problems Series

https://doi.org/10.1515/9783110900163

Overview
Contents

About this book

This monograph describes mathematical methods applicable to studying nonclassical problems of mathematical physics. The emphasis of the book is on applications of the interpolar theory of Banach spaces to the theory of linear operators to be expotentially dichotomous, to some continuity properties of linear operators in Hilbert scales, to the Riesz basis property of eigenelements and associated elements of linear pencils and the correspondending elliptic problems with indefinite weight functions, and to studying nonclassical boundary value problems for first order operator-differential equations.

Author / Editor information

Sergei G. Pyatkov, Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia.

Topics

Frontmatter Publicly Available Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	v
Introduction Requires Authentication Unlicensed Licensed Download PDF	vii
List of Designations Requires Authentication Unlicensed Licensed Download PDF	ix
Contents Publicly Available Download PDF	xi
Chapter 1. Indefinite inner product spaces. Linear operators. Interpolation Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2. Spectral theory for linear selfadjoint pencils Requires Authentication Unlicensed Licensed Download PDF	111
Chapter 3. Elliptic eigenvalue problems with an indefinite weight function Requires Authentication Unlicensed Licensed Download PDF	151
Chapter 4. Operator-differential equations Requires Authentication Unlicensed Licensed Download PDF	253
Bibliography Requires Authentication Unlicensed Licensed Download PDF	323
Index Requires Authentication Unlicensed Licensed Download PDF	347

(Deutsch)

Language: English
Publisher: De Gruyter
Edition: Reprint 2013
Audience: Students, Researchers, and Lecturers in Mathematics and Mathematical Physics; Academic Libraries
Pages
- Front matter: 9
- Main content: 346
Keywords: Nonclassical; Interpolar Theory; Banach Spaces; Linear Operators; Expotential; Dichotomous; Continuity Properties; Hilbert Scales; Riesz Basis Property; Eigenelements; Linear Pencils; Elliptic Problems; Indefinite Weight Functions; Boundary Value Problems; Operator-differential Equations

eBook

Published: February 18, 2013
ISBN: 9783110900163