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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 3, Pages 1–16
DOI: https://doi.org/10.4213/faa2864 (Mi faa2864) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Locally Definitizable Matrix Functions

T. Ya. Azizova, P. Jonasb

a Voronezh State University
b Institut für Mathematik, Technische Universität Berlin
Full-text PDF (253 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa2864
Abstract: We study analytic properties of special classes of matrix functions (locally definitizable and locally Nevanlinna functions) by methods of operator theory. The aim of this paper is to prove that if $G(\lambda)$ is a locally definitizable or locally generalized matrix Nevanlinna function, then $-(G(\lambda))^{-1}$ belongs to the same class.
Keywords: Krein space, meromorphic function, definitizable operator-function, Nevanlinna matrix-function, generalized resolvent.
Received: 15.09.2005
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 3, Pages 169–180
DOI: https://doi.org/10.1007/s10688-007-0015-x
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: T. Ya. Azizov, P. Jonas, “On Locally Definitizable Matrix Functions”, Funktsional. Anal. i Prilozhen., 41:3 (2007), 1–16; Funct. Anal. Appl., 41:3 (2007), 169–180
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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