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On a binary operation for positive operators

Name: On a binary operation for positive operators
Keywords: Mathematics - Functional Analysis, 47A63, 47A64, 47A30, 15A45, Operator means involving linear operators, shorted linear operators, etc., unitarily invariant norm, operator geometric mean, https://purl.org/becyt/ford/1.1, Unitary invariant norm., Operator geometric mean, Positive linear operators and order-bounded operators, https://purl.org/becyt/ford/1

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 18 Dec 2023 Argentina English Publisher:Springer Science and Business Media LLCJournal:Acta Scientiarum Mathematicarum, volume 90, pages 649-665 (issn: 0001-6969, eissn: 2064-8316,

Authors: Shigeru Furuichi; Hamid Reza Moradi; Cristian Conde; Mohammad Sababheh;

doi: 10.1007/s44146-023-00102-w

arXiv: http://arxiv.org/abs/2402.06637

handle: 11336/238286

On a binary operation for positive operators

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Abstract

M. Lin defined a binary operation for two positive semi-definite matrices in studying certain determinantal inequalities that arise from diffusion tensor imaging. This operation enjoys some interesting properties similar to the operator geometric mean. We study this operation further and present numerous properties emphasizing the relationship with the operator geometric mean. In the end, we present an application toward Tsallis relative operator entropy.

Comment: 17 pages

Country

Argentina

Related Organizations

National University of General Sarmiento
Argentina
National Scientific and Technical Research Council
Argentina
Princess Sumaya University for Technology
Jordan
Islamic Azad University, Mashhad
Iran (Islamic Republic of)
Nihon University
Japan

Keywords

Mathematics - Functional Analysis, 47A63, 47A64, 47A30, 15A45, Operator means involving linear operators, shorted linear operators, etc., unitarily invariant norm, operator geometric mean, https://purl.org/becyt/ford/1.1, Unitary invariant norm., Operator geometric mean, Positive linear operators and order-bounded operators, https://purl.org/becyt/ford/1, Tsallis relative operator entropy, Equations involving linear operators, with operator unknowns

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