Gleason-Kahane-Żelazko theorem for bilinear maps

Abbas Zivari-Kazempour

Published: 2022-09-15

Vol. 36 No. 2 (2022)

Gleason-Kahane-Żelazko theorem for bilinear maps

Abbas Zivari-Kazempour

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.

Keywords:

Gleason–Kahane–Żelazko theorem , preserves invertibility , bihomomorphism , bi-Jordan homomorphism

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

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

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

Licence CC

This work is licensed under a Creative Commons Attribution 4.0 International License.

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