1.

Record Nr.

UNINA9910464133603321

Autore

Pyatkov S. G

Titolo

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

Pubbl/distr/stampa

Utrecht ; ; Boston : , : VSP, , 2002

ISBN

3-11-090016-5

Edizione

[Reprint 2013]

Descrizione fisica

1 online resource (361 pages)

Collana

Inverse and Ill-Posed Problems Series ; ; 33

Inverse and ill-posed problems series. , 1381-4524

Disciplina

515/.724

Soggetti

Banach spaces

Interpolation spaces

Nonclassical mathematical logic

Operator theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

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

Nota di contenuto

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

Sommario/riassunto

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.