On the absolute value of the product and the sum of linear operators

DOI10.1007/s12215-018-0356-8OpenAlexW2613580978MaRDI QIDQ2311397

Mohammed Hichem Mortad

Publication date: 10 July 2019

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08671

zbMATH Keywords

commutativitynormalhyponormalFuglede theoremself-adjoint and positive operators

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20) Equations involving linear operators, with operator unknowns (47A62)

Related Items (1)

The sandwich rule for sequences of self-adjoint operators and some applications

Cites Work

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• Right (or left) invertibility of bounded and unbounded operators and applications to the spectrum of products
• Conditions implying commutativity of unbounded self-adjoint operators and related topics
• An application of the Putnam-Fuglede theorem to normal products of self-adjoint operators
• The triangle inequality in C*algebras
• The square root of a positive self-adjoint operator
• Shorter Notes: Some Operator Monotone Functions
• Matrix inequalities

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