Operator theory : nonclassical problems / S.G. Pyatkov.

Format:

Book

Author/Creator:

Pyatkov, S. G.

Series:

Inverse and ill-posed problems series. 1381-4524

Inverse and Ill-Posed Problems Series ; 33

Language:

English

Subjects (All):

Banach spaces.

Interpolation spaces.

Nonclassical mathematical logic.

Operator theory.

Physical Description:

1 online resource (361 pages)

Edition:

Reprint 2013

Place of Publication:

Utrecht ; Boston : VSP, 2002.

Language Note:

English

Summary:

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.

Contents:

Frontmatter

Preface

Introduction

List of Designations

Contents

Chapter 1. Indefinite inner product spaces. Linear operators. Interpolation

Chapter 2. Spectral theory for linear selfadjoint pencils

Chapter 3. Elliptic eigenvalue problems with an indefinite weight function

Chapter 4. Operator-differential equations

Bibliography

Index

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (pages [323]-346) and index.

Description based on print version record.

ISBN:

9783110900163

3110900165

OCLC:

1013957548