Positive block matrices on Hilbert and Krein C*-modules

Mohammad Sal Moslehian; Mahdi Dehghani; Seyed Mohammad Sadegh Modarres

Surveys in Mathematics and its Applications (Dec 2013)

Positive block matrices on Hilbert and Krein C*-modules

Mohammad Sal Moslehian,
Mahdi Dehghani,
Seyed Mohammad Sadegh Modarres

Affiliations

Mohammad Sal Moslehian: Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, Iran
Mahdi Dehghani: Department 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, Iran
Seyed Mohammad Sadegh Modarres: Department of Pure and Applied Mathematics, Yazd University, Yazd, Iran

Journal volume & issue: Vol. 8 (2013)
pp. 23 – 34

Abstract

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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.

Published in Surveys in Mathematics and its Applications

ISSN: 1843-7265 (Print); 1842-6298 (Online)
Publisher: University Constantin Brancusi of Targu-Jiu
Country of publisher: Romania
LCC subjects: Science: Mathematics
Website: http://www.utgjiu.ro/math/sma/

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