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Main Title: On locally definitizable matrix functions
Author(s): Azizov, Tomas
Jonas, Peter
Type: Research Paper
Abstract: For a domain $\Omega$ of the extended complex plane, classes of R-symmetric piecewise meromorphic matrix functions $G$ in $\Omega \setminus \overline{R}$ are studied. If $G$ is locally definitizable in $\Omega$ or a local generalized Nevanlinna function in $\Omega$, then the same is true for the inverse of $G$. The results are applied to an abstract boundary value problem with eigenvalue parameter in the boundary condition.
Subject(s): generalized Nevanlinna matrix functions
definitizable matrix functions
locally definitizable matrix functions
selfadjoint operators in Krein spaces
locally definitizable operators
Issue Date: 8-Sep-2005
Date Available: 17-Dec-2021
Language Code: ru
DDC Class: 510 Mathematik
MSC 2000: 47A56 Functions whose values are linear operators
47B50 Operators on spaces with an indefinite metric
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2005, 21
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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