Operator Theory : : Nonclassical Problems / / Sergei G. Pyatkov.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• VerfasserIn: Pyatkov, Sergei G.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2013]; ©2002
• Year of Publication: 2013
• Edition: Reprint 2013
• Language: English
• Series: Inverse and Ill-Posed Problems Series , 33
• Physical Description: 1 online resource (346 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110900163; 9783110238570; 9783110238471; 9783110637205
• ISSN: 1381-4524
• DOI: 10.1515/9783110900163
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Sergei G. Pyatkov.

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.