Triviality of the generalized Lau product associated to a Banach algebra homomorphism

Choi, Yemon (2016) Triviality of the generalized Lau product associated to a Banach algebra homomorphism. Bulletin of the Australian Mathematical Society, 94. pp. 286-289. ISSN 0004-9727

[img] PDF (1511.07868v2.pd)
1511.07868v2.pd.pdf - Accepted Version
Available under License Creative Commons Attribution.

Download (81kB)

Abstract

Several papers have, as their raison d'etre, the exploration of the generalized Lau product associated to a homomorphism $T:B\to A$ of Banach algebras. In this short note, we demonstrate that the generalized Lau product is isomorphic as a Banach algebra to the usual direct product $A\oplus B$. We also correct some misleading claims made about the relationship between this generalized Lau product, and an older construction of Monfared (Studia Mathematica, 2007).

Item Type: Journal Article
Journal or Publication Title: Bulletin of the Australian Mathematical Society
Additional Information: https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/triviality-of-the-generalised-lau-product-associated-to-a-banach-algebra-homomorphism/9E2E28C137EF81F9292C61FD9F7A7C2B The final, definitive version of this article has been published in the Journal, Bulletin of the Australian Mathematical Society, 94, pp 286-289 2016, © 2016 Cambridge University Press.
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600
Subjects:
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 76977
Deposited By: ep_importer_pure
Deposited On: 03 Dec 2015 09:22
Refereed?: Yes
Published?: Published
Last Modified: 24 Feb 2020 02:19
URI: https://eprints.lancs.ac.uk/id/eprint/76977

Actions (login required)

View Item View Item