Open Access
October 2018 Bimonotone maps on semiprime Banach algebras
M. Burgos
Banach J. Math. Anal. 12(4): 1047-1063 (October 2018). DOI: 10.1215/17358787-2018-0011

Abstract

In this article, we investigate the properties of the sharp partial order in unital rings, and we study additive maps preserving the minus partial order in both directions in the setting of unital semiprime Banach algebras with essential socle.

Citation

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M. Burgos. "Bimonotone maps on semiprime Banach algebras." Banach J. Math. Anal. 12 (4) 1047 - 1063, October 2018. https://doi.org/10.1215/17358787-2018-0011

Information

Received: 4 January 2017; Accepted: 29 March 2018; Published: October 2018
First available in Project Euclid: 11 September 2018

zbMATH: 06946302
MathSciNet: MR3858760
Digital Object Identifier: 10.1215/17358787-2018-0011

Subjects:
Primary: 47B49
Secondary: ‎15A09 , 47B48

Keywords: Banach algebras , generalized inverse , Jordan homomorphism , linear preservers , sharp partial order

Rights: Copyright © 2018 Tusi Mathematical Research Group

Vol.12 • No. 4 • October 2018
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