Positive block matrices on Hilbert and Krein C*-modules

Positive block matrices on Hilbert and Krein C*-modules

Let H1 and H2 be Hilbert C*-modules. In this paper we give some necessary and sufficient conditions for the positivity of a block matrix on the Hilbert C*-module H1⊕H2.

Bibliographic Details
Main Authors: Mohammad Sal Moslehian, Mahdi Dehghani, Seyed Mohammad Sadegh Modarres
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2013-12-01
Series:Surveys in Mathematics and its Applications
Subjects:
Block matrix
Indefinite inner product module
J-positive operator
J-contraction
Krein C*-module
Online Access:http://www.utgjiu.ro/math/sma/v08/p03.pdf
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spelling doaj-6fbcaec2415f4efeab62c4fb2b43bd652020-11-24T21:38:02ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982013-12-018 (2013)2334Positive block matrices on Hilbert and Krein C*-modulesMohammad Sal Moslehian0Mahdi Dehghani1Seyed Mohammad Sadegh Modarres2Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, IranDepartment of Pure and Applied Mathematics, Yazd University, Yazd, Iran and Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, IranDepartment of Pure and Applied Mathematics, Yazd University, Yazd, IranLet H1 and H2 be Hilbert C*-modules. In this paper we give some necessary and sufficient conditions for the positivity of a block matrix on the Hilbert C*-module H1⊕H2. http://www.utgjiu.ro/math/sma/v08/p03.pdfBlock matrixIndefinite inner product moduleJ-positive operatorJ-contractionKrein C*-module
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad Sal Moslehian
Mahdi Dehghani
Seyed Mohammad Sadegh Modarres
spellingShingle Mohammad Sal Moslehian
Mahdi Dehghani
Seyed Mohammad Sadegh Modarres
Positive block matrices on Hilbert and Krein C*-modules
Surveys in Mathematics and its Applications
Block matrix
Indefinite inner product module
J-positive operator
J-contraction
Krein C*-module
author_facet Mohammad Sal Moslehian
Mahdi Dehghani
Seyed Mohammad Sadegh Modarres
author_sort Mohammad Sal Moslehian
title Positive block matrices on Hilbert and Krein C*-modules
title_short Positive block matrices on Hilbert and Krein C*-modules
title_full Positive block matrices on Hilbert and Krein C*-modules
title_fullStr Positive block matrices on Hilbert and Krein C*-modules
title_full_unstemmed Positive block matrices on Hilbert and Krein C*-modules
title_sort positive block matrices on hilbert and krein c*-modules
publisher University Constantin Brancusi of Targu-Jiu
series Surveys in Mathematics and its Applications
issn 1843-7265
1842-6298
publishDate 2013-12-01
description Let H1 and H2 be Hilbert C*-modules. In this paper we give some necessary and sufficient conditions for the positivity of a block matrix on the Hilbert C*-module H1⊕H2.
topic Block matrix
Indefinite inner product module
J-positive operator
J-contraction
Krein C*-module
url http://www.utgjiu.ro/math/sma/v08/p03.pdf
work_keys_str_mv AT mohammadsalmoslehian positiveblockmatricesonhilbertandkreincmodules
AT mahdidehghani positiveblockmatricesonhilbertandkreincmodules
AT seyedmohammadsadeghmodarres positiveblockmatricesonhilbertandkreincmodules
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