## Annals of Functional Analysis

### Some Banach algebra properties in the Cartesian product of Banach algebras

#### Abstract

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

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

Dates
First available in Project Euclid: 5 February 2014

https://projecteuclid.org/euclid.afa/1391614568

Digital Object Identifier
doi:10.15352/afa/1391614568

Mathematical Reviews number (MathSciNet)
MR3119111

Zentralblatt MATH identifier
1290.46045

#### Citation

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. https://projecteuclid.org/euclid.afa/1391614568

#### References

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