Rights statement: 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.
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Accepted author manuscript
Licence: CC BY
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Triviality of the generalized Lau product associated to a Banach algebra homomorphism
AU - Choi, Yemon
N1 - 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.
PY - 2016/10
Y1 - 2016/10
N2 - 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).
AB - 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).
KW - Banach algebras
U2 - 10.1017/S0004972715001823
DO - 10.1017/S0004972715001823
M3 - Journal article
VL - 94
SP - 286
EP - 289
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
SN - 0004-9727
ER -