2019 Regularity-type properties of the boundary spectrum in Banach algebras
Heinrich Raubenheimer, Andre Swartz
Rocky Mountain J. Math. 49(8): 2747-2754 (2019). DOI: 10.1216/RMJ-2019-49-8-2747

Abstract

We provide examples to shed some light on the regularity-type properties of the boundary spectrum of a Banach algebra element. In particular, we show that the boundary spectrum is generated by a set that is neither an upper nor a lower semiregularity.

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Heinrich Raubenheimer. Andre Swartz. "Regularity-type properties of the boundary spectrum in Banach algebras." Rocky Mountain J. Math. 49 (8) 2747 - 2754, 2019. https://doi.org/10.1216/RMJ-2019-49-8-2747

Information

Published: 2019
First available in Project Euclid: 31 January 2020

zbMATH: 07163196
MathSciNet: MR4058347
Digital Object Identifier: 10.1216/RMJ-2019-49-8-2747

Subjects:
Primary: MSC
Secondary: 2010: , 46H05 , 46H30 , 47A05

Keywords: boundary spectrum , regularities , semiregularities

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 8 • 2019
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