Annals of Functional Analysis

Some Banach algebra properties in the Cartesian product of Banach algebras

H. V. Dedania and H. J. Kanani

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For semisimple, commutative Banach algebras $\mathcal A$ and $\mathcal B$, some Banach algebra properties of the Cartesin product $\mathcal A \times \mathcal B$ are characterized in terms of $\mathcal A$ and $\mathcal B$. A couple of results are also proved for non-commutative Banach algebras.

Article information

Ann. Funct. Anal., Volume 5, Number 1 (2014), 51-55.

First available in Project Euclid: 5 February 2014

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 46J05: General theory of commutative topological algebras
Secondary: 46K05: General theory of topological algebras with involution

Banach algebra Cartesian product UUNP TAP SEP


Dedania, H. V.; Kanani, H. J. Some Banach algebra properties in the Cartesian product of Banach algebras. Ann. Funct. Anal. 5 (2014), no. 1, 51--55. doi:10.15352/afa/1391614568.

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