Strongly definitizable linear pencils in Hilbert space

P. Lancaster; A. Shkalikov; Qiang Ye

doi:10.1007/BF01200290

Strongly definitizable linear pencils in Hilbert space

P. Lancaster, A. Shkalikov, Qiang Ye

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26 Scopus citations

Abstract

Selfadjoint linear pencils ΛF-G are considered which have discrete spectrum and neither F nor G is definite. Several characterizations are given of a "strongly definitizable" property when F and G are bounded, and also when both operators are unbounded. The theory is applied to analysis of the stability of a linear second order initial-boundary value problem with boundary conditions dependent on the eigenvalue parameter.

Original language	English
Pages (from-to)	338-360
Number of pages	23
Journal	Integral Equations and Operator Theory
Volume	17
Issue number	3
DOIs	https://doi.org/10.1007/BF01200290
State	Published - Sep 1993

Keywords

AMS Subject Classification: 47A70, 47E05

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/BF01200290

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title = "Strongly definitizable linear pencils in Hilbert space",

abstract = "Selfadjoint linear pencils ΛF-G are considered which have discrete spectrum and neither F nor G is definite. Several characterizations are given of a {"}strongly definitizable{"} property when F and G are bounded, and also when both operators are unbounded. The theory is applied to analysis of the stability of a linear second order initial-boundary value problem with boundary conditions dependent on the eigenvalue parameter.",

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T1 - Strongly definitizable linear pencils in Hilbert space

AU - Lancaster, P.

AU - Shkalikov, A.

AU - Ye, Qiang

PY - 1993/9

Y1 - 1993/9

N2 - Selfadjoint linear pencils ΛF-G are considered which have discrete spectrum and neither F nor G is definite. Several characterizations are given of a "strongly definitizable" property when F and G are bounded, and also when both operators are unbounded. The theory is applied to analysis of the stability of a linear second order initial-boundary value problem with boundary conditions dependent on the eigenvalue parameter.

AB - Selfadjoint linear pencils ΛF-G are considered which have discrete spectrum and neither F nor G is definite. Several characterizations are given of a "strongly definitizable" property when F and G are bounded, and also when both operators are unbounded. The theory is applied to analysis of the stability of a linear second order initial-boundary value problem with boundary conditions dependent on the eigenvalue parameter.

KW - AMS Subject Classification: 47A70, 47E05

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U2 - 10.1007/BF01200290

DO - 10.1007/BF01200290

M3 - Article

AN - SCOPUS:0000028668

SN - 0378-620X

VL - 17

SP - 338

EP - 360

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 3

ER -

Strongly definitizable linear pencils in Hilbert space

Abstract

Keywords

ASJC Scopus subject areas

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