Published: 2022-09-15
Language: EN

Gleason-Kahane-Żelazko theorem for bilinear maps

Abbas Zivari-Kazempour Logo ORCID

Abstract

Let A and B be two unital Banach algebras and ????=A×B. We prove that the bilinear mapping ϕ:????→ℂ is a bi-Jordan homomorphism if and only if ϕ is unital, invertibility preserving and jointly continuous. Additionally, if ???? is commutative, then ϕ is a bi-homomorphism.

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Citation rules

Zivari-Kazempour, A. (2022). Gleason-Kahane-Żelazko theorem for bilinear maps. Annales Mathematicae Silesianae, 36(2), 228–237. Retrieved from https://trrest.vot.pl/ojsus/index.php/AMSIL/article/view/14572

Domyślna okładka

Vol. 36 No. 2 (2022)
Published: 2022-09-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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