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Preprint 28-2004

A Class of Abstract Boundary Value Problems with Locally Definitizable Functions in the Boundary Condition

Source file is available as :   Postscript Document

Author(s) : Jussi Behrndt

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 28-2004

MSC 2000

47B50 Operators on spaces with an indefinite metric
34B07 Linear boundary value problems with nonlinear dependence on the spectral parameter
46C20 Spaces with indefinite inner product
47A06 Linear relations
47B40 Spectral operators, decomposable operators, well-bounded operators, etc.

Abstract :
For a class of boundary value problems where the spectral parameter appears in the boundary condition in the form of a locally definitizable function linearizations are constructed and their local spectral properties are investigated.

Keywords : boundary value problems, locally definitizable operators and relations in Krein spaces, locally definitizable functions, boundary value spaces

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