Gleason-Kahane-Żelazko Theorem for Bilinear Maps

• Autorzy: Abbas Zivari-Kazempour
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Mathematics; Algebra

PL

Matematyka; Algebra

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2022
• Tom: 36 (2)
• Strony: 228--237

Twórcy

autor

Abbas Zivari-Kazempour

• Ayatollah Borujerdi University Borujerd, Iran

Bibliografia

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• Zivari-Kazempour A., A characterisation of 3-Jordan homomorphisms on Banach algebras, Bull. Aust. Math. Soc. 93 (2016), no. 2, 301-306.
• Zivari-Kazempour A., Automatic continuity of n-Jordan homomorphisms on Banach algebras, Commun. Korean Math. Soc. 33 (2018), no. 1, 165-170.
• Zivari-Kazempour A., When is a bi-Jordan homomorphism bi-homomorphism?, Kragujevac J. Math. 42 (2018), no. 4, 485-493.
• Zivari-Kazempour A., Characterization of n-Jordan homomorphisms and their automatic continuity on Banach algebras, Ann. Univ. Ferrara (2022). DOI: 10.1007/s11565-022-00425-6

Identyfikatory

DOI

10.2478/amsil-2022-0017