Compressions of maximal dissipative and self-adjoint linear relations and of dilations

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

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

^*Corresponding author for this work

Systems, Control and Applied Analysis

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

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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. (c) 2013 Elsevier Inc. All rights reserved.

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 - 1-Aug-2013

Keywords

Hilbert space
Krein space
Symmetric
Self-adjoint
Dissipative
Maximal dissipative
Linear relation
Dilation
Compression
Reproducing kernel
Codimension
SCHUR TRANSFORMATION
SYMMETRIC SUBSPACES
EXTENSIONS
OPERATORS

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title = "Compressions of maximal dissipative and self-adjoint linear relations and of dilations",

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. (c) 2013 Elsevier Inc. All rights reserved.",

keywords = "Hilbert space, Krein space, Symmetric, Self-adjoint, Dissipative, Maximal dissipative, Linear relation, Dilation, Compression, Reproducing kernel, Codimension, SCHUR TRANSFORMATION, SYMMETRIC SUBSPACES, EXTENSIONS, OPERATORS",

author = "T.Ya. Azizov and A. Dijksma and G. Wanjala",

note = "Relation: http://www.rug.nl/research/jbi/ Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

year = "2013",

month = aug,

day = "1",

doi = "10.1016/j.laa.2013.04.003",

language = "English",

volume = "439",

pages = "771--792",

journal = "Linear Algebra and Its Applications",

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T1 - Compressions of maximal dissipative and self-adjoint linear relations and of dilations

AU - Azizov, T.Ya.

AU - Dijksma, A.

AU - Wanjala, G.

N1 - Relation: http://www.rug.nl/research/jbi/ Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

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. (c) 2013 Elsevier Inc. All rights reserved.

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. (c) 2013 Elsevier Inc. All rights reserved.

KW - Hilbert space

KW - Krein space

KW - Symmetric

KW - Self-adjoint

KW - Dissipative

KW - Maximal dissipative

KW - Linear relation

KW - Dilation

KW - Compression

KW - Reproducing kernel

KW - Codimension

KW - SCHUR TRANSFORMATION

KW - SYMMETRIC SUBSPACES

KW - EXTENSIONS

KW - OPERATORS

U2 - 10.1016/j.laa.2013.04.003

DO - 10.1016/j.laa.2013.04.003

M3 - Article

SN - 0024-3795

VL - 439

SP - 771

EP - 792

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 3

ER -

Compressions of maximal dissipative and self-adjoint linear relations and of dilations

Abstract

Keywords

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