MATHEMATICS

Hyper-Tauberian algebras defined by a Banach algebra homomorphism

A. Ebadian^a, A. Jabbari<sup>b

a</sup> Department of Mathematics, Urmia University, Iran
^b Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran

Abstract: Let $A$ and $B$ be Banach algebras and $T:B\longrightarrow A$ be a continuous homomorphism. We consider left multipliers from $A\times_T B$ into its the first dual i.e., $A^*\times B^*$ and we show that $A\times_T B$ is a hyper-Tauberian algebra if and only if $A$ and $B$ are hyper-Tauberian algebras.

Keywords: Local operator, hyper-Tauberian algebra, Tauberian algebra.

UDC: 519.53

MSC: 43A22, 16W20

Received: 01.03.2019

Language: English

DOI: 10.26117/2079-6641-2019-26-1-18-28

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