ANTITONICITY OF THE INVERSE FOR SELFADJOINT MATRICES, OPERATORS, AND RELATIONS

Jussi Behrndt; Seppo Hassi; Hendrik Wietsma; Hendrik de Snoo

ANTITONICITY OF THE INVERSE FOR SELFADJOINT MATRICES, OPERATORS, AND RELATIONS

Jussi Behrndt^*, Seppo Hassi, Hendrik Wietsma, Hendrik de Snoo

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

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Abstract

Let H-1 and H-2 be selfadjoint operators or relations (multivalued operators) acting on a separable Hilbert space and assume that the inequality H-1

Original language	English
Article number	PII S0002-9939(2014)12115-0
Pages (from-to)	2783-2796
Number of pages	14
Journal	Proceedings of the american mathematical society
Volume	142
Issue number	8
Publication status	Published - Aug-2014

Keywords

Selfadjoint operator
selfadjoint relation
inertia
matrix inequality
operator inequality
ordering
LOWNER-ORDERING ANTITONICITY
INEQUALITIES
FORMS

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Cite this

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title = "ANTITONICITY OF THE INVERSE FOR SELFADJOINT MATRICES, OPERATORS, AND RELATIONS",

abstract = "Let H-1 and H-2 be selfadjoint operators or relations (multivalued operators) acting on a separable Hilbert space and assume that the inequality H-1",

keywords = "Selfadjoint operator, selfadjoint relation, inertia, matrix inequality, operator inequality, ordering, LOWNER-ORDERING ANTITONICITY, INEQUALITIES, FORMS",

author = "Jussi Behrndt and Seppo Hassi and Hendrik Wietsma and {de Snoo}, Hendrik",

year = "2014",

month = aug,

language = "English",

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journal = "Proceedings of the american mathematical society",

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AU - Behrndt, Jussi

AU - Hassi, Seppo

AU - Wietsma, Hendrik

AU - de Snoo, Hendrik

PY - 2014/8

Y1 - 2014/8

N2 - Let H-1 and H-2 be selfadjoint operators or relations (multivalued operators) acting on a separable Hilbert space and assume that the inequality H-1

AB - Let H-1 and H-2 be selfadjoint operators or relations (multivalued operators) acting on a separable Hilbert space and assume that the inequality H-1

KW - Selfadjoint operator

KW - selfadjoint relation

KW - inertia

KW - matrix inequality

KW - operator inequality

KW - ordering

KW - LOWNER-ORDERING ANTITONICITY

KW - INEQUALITIES

KW - FORMS

M3 - Article

VL - 142

SP - 2783

EP - 2796

JO - Proceedings of the american mathematical society

JF - Proceedings of the american mathematical society

SN - 0002-9939

IS - 8

M1 - PII S0002-9939(2014)12115-0

ER -