Compressions of maximal dissipative and self-adjoint linear relations and of dilations Dedicated to Harm Bart - A fine colleague and good friend.

T. Ya Azizov; A. Dijksma; G. Wanjala

doi:10.1016/j.laa.2013.04.003

Compressions of maximal dissipative and self-adjoint linear relations and of dilations Dedicated to Harm Bart - A fine colleague and good friend.

T. Ya Azizov, A. Dijksma^*, G. Wanjala

^*Corresponding author for this work

Mathematics

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

21 Citations (Scopus)

Abstract

In this paper we generalize results from Stenger (1968) [30], Nudelman (2011) [28] and Azizov and Dijksma (2012) [7] to maximal dissipative and self-adjoint linear relations and discuss related results for nonnegative self-adjoint extensions of nonnegative symmetric linear relations and self-adjoint dilations of maximal dissipative linear relations.

Original language	English
Pages (from-to)	771-792
Number of pages	22
Journal	Linear Algebra and Its Applications
Volume	439
Issue number	3
DOIs	https://doi.org/10.1016/j.laa.2013.04.003
Publication status	Published - Aug 1 2013

Keywords

Codimension
Compression
Dilation
Dissipative
Hilbert space
Krein space
Linear relation
Maximal dissipative
Reproducing kernel
Self-adjoint
Symmetric

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2013.04.003

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title = "Compressions of maximal dissipative and self-adjoint linear relations and of dilations Dedicated to Harm Bart - A fine colleague and good friend.",

abstract = "In this paper we generalize results from Stenger (1968) [30], Nudelman (2011) [28] and Azizov and Dijksma (2012) [7] to maximal dissipative and self-adjoint linear relations and discuss related results for nonnegative self-adjoint extensions of nonnegative symmetric linear relations and self-adjoint dilations of maximal dissipative linear relations.",

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AU - Azizov, T. Ya

AU - Dijksma, A.

AU - Wanjala, G.

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PY - 2013/8/1

Y1 - 2013/8/1

N2 - In this paper we generalize results from Stenger (1968) [30], Nudelman (2011) [28] and Azizov and Dijksma (2012) [7] to maximal dissipative and self-adjoint linear relations and discuss related results for nonnegative self-adjoint extensions of nonnegative symmetric linear relations and self-adjoint dilations of maximal dissipative linear relations.

AB - In this paper we generalize results from Stenger (1968) [30], Nudelman (2011) [28] and Azizov and Dijksma (2012) [7] to maximal dissipative and self-adjoint linear relations and discuss related results for nonnegative self-adjoint extensions of nonnegative symmetric linear relations and self-adjoint dilations of maximal dissipative linear relations.

KW - Codimension

KW - Compression

KW - Dilation

KW - Dissipative

KW - Hilbert space

KW - Krein space

KW - Linear relation

KW - Maximal dissipative

KW - Reproducing kernel

KW - Self-adjoint

KW - Symmetric

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DO - 10.1016/j.laa.2013.04.003

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AN - SCOPUS:84878282432

SN - 0024-3795

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EP - 792

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 3

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Compressions of maximal dissipative and self-adjoint linear relations and of dilations Dedicated to Harm Bart - A fine colleague and good friend.

Abstract

Keywords

ASJC Scopus subject areas

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