Inertia theorems for operator pencils and applications

A. Ben-Artzi; I. Gohberg

doi:10.1007/BF01299965

Inertia theorems for operator pencils and applications

A. Ben-Artzi^*
, I. Gohberg

^*Corresponding author for this work

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper we obtain general infinite dimensional inertia theorems for linear pencils in Hilbert space which cover previously known results for the finite dimensional case and for block weighted shifts. Connections with definite subspaces for contractions in spaces with indefinite metric are discussed.

Original language	English
Pages (from-to)	270-318
Number of pages	49
Journal	Integral Equations and Operator Theory
Volume	21
Issue number	3
DOIs	https://doi.org/10.1007/BF01299965
State	Published - Sep 1995

Keywords

AMS subject classification: 47A53, 47B50

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10.1007/BF01299965

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title = "Inertia theorems for operator pencils and applications",

abstract = "In this paper we obtain general infinite dimensional inertia theorems for linear pencils in Hilbert space which cover previously known results for the finite dimensional case and for block weighted shifts. Connections with definite subspaces for contractions in spaces with indefinite metric are discussed.",

keywords = "AMS subject classification: 47A53, 47B50",

author = "A. Ben-Artzi and I. Gohberg",

year = "1995",

month = sep,

doi = "10.1007/BF01299965",

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AU - Gohberg, I.

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AB - In this paper we obtain general infinite dimensional inertia theorems for linear pencils in Hilbert space which cover previously known results for the finite dimensional case and for block weighted shifts. Connections with definite subspaces for contractions in spaces with indefinite metric are discussed.

KW - AMS subject classification: 47A53, 47B50

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AN - SCOPUS:0004427102

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JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 3

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Inertia theorems for operator pencils and applications

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