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November 2017 Sherman type theorem on C*-algebras
Marek Niezgoda
Ann. Funct. Anal. 8(4): 425-434 (November 2017). DOI: 10.1215/20088752-2017-0007

Abstract

In this paper, a new definition of majorization for C*-algebras is introduced. Sherman’s inequality is extended to self-adjoint operators and positive linear maps by applying the method of premajorization used for comparing two tuples of objects. A general result in a matrix setting is established. Special cases of the main theorem are studied. In particular, a HLPK-type inequality is derived.

Citation

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Marek Niezgoda. "Sherman type theorem on C*-algebras." Ann. Funct. Anal. 8 (4) 425 - 434, November 2017. https://doi.org/10.1215/20088752-2017-0007

Information

Received: 14 August 2016; Accepted: 16 November 2016; Published: November 2017
First available in Project Euclid: 13 May 2017

zbMATH: 06841324
MathSciNet: MR3717165
Digital Object Identifier: 10.1215/20088752-2017-0007

Subjects:
Primary: 47A63
Secondary: 15B48, 26D15

Rights: Copyright © 2017 Tusi Mathematical Research Group

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Vol.8 • No. 4 • November 2017
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