Operator theory: nonclassical problems

by Pyatkov, S. G.

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Title Statements

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

Edition Statements

Publication Date:2002.

Publication Statements

Publisher(s):VSP
Place of Publication:Utrecht
Language:eng
Publication Date:2002.

The Physical Object

Description:ix, 346 pages ; : 25 cm.

Edition Identifiers

ISBN:9067643637, 9789067643634
oclc:ocm51216246
LC Classification:F1230
Dewey Decimal:515/.724

Ch. 1. Indefinite inner product spaces. Linear operators. Interpolation. 1. Indefinite inner product spaces. 2. The basic classes of operators in Krein spaces. 3. Interpolation of Banach and Hilbert spaces and applications. 4. The existence of maximal semidefinite invariant subspaces for J dissipative operators. 5. First order equations. Decomposition of a solution -- Ch. 2. Spectral theory for linear selfadjoint pencils. 1. Examples. 2. Basic assumptions. The structure of root subspaces. 3. The Riesz basis property. Invariant subspaces. 4. Sufficient conditions -- Ch. 3. Elliptic eigenvalue problems with an indefinite weight function. 1. Auxiliary function spaces. Interpolation. 2. Preliminaries. Basic assumptions. 3. Basisness theorems. 4. Examples and counterexamples -- Ch. 4. Operator-differential equations. 1. Generalized solutions. Positive definite case. 2. Degenerate case. 3. The Fourier method. 4. Some applications to partial differential equations.

Subjects

Banach spaces Espaces d'interpolation Espaces de Banach Interpolation spaces Logique mathématique non classique Nonclassical mathematical logic Operator theory Théorie des opérateurs