2018Studia MathematicaRequires access

Peculiar homomorphisms between algebras of vector-valued maps

Osamu Hatori, Shiho Oi, Hiroyuki Takagi

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Abstract

We study unital homomorphisms between Banach algebras of vector-valued maps including Banach algebras of Lipschitz maps with values in unital commutative Banach algebras. We provide sufficient conditions under which every unital homomorphism or isomorphis

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What this paper is about

We study unital homomorphisms between Banach algebras of vector-valued maps including Banach algebras of Lipschitz maps with values in unital commutative Banach algebras. We provide sufficient conditions under which every unital homomorphism or isomorphis

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We study unital homomorphisms between Banach algebras of vector-valued maps including Banach algebras of Lipschitz maps with values in unital commutative Banach algebras. We provide sufficient conditions under which every unital homomorphism or isomorphis

Key concepts: Homomorphism, Unital, Mathematics, Commutative property, Pure mathematics, Lipschitz continuity, Banach algebra, Algebra over a field

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