Vestnik KRAUNC: Fiziko-Matematičeskie Nauki (May 2019)

HYPER-TAUBERIAN ALGEBRAS DEFINED BY A BANACH ALGEBRA HOMOMORPHISM

  • A. Ebadian,
  • A. Jabbari

DOI
https://doi.org/10.26117/2079-6641-2019-26-1-18-28
Journal volume & issue
Vol. 26, no. 1
pp. 17 – 27

Abstract

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Let A and B be Banach algebras and T: B→A be a continuous homomorphism. We consider left multipliers from A×TB into its the first dual i.e., A*×B* and we show that A×TB is a hyper-Tauberian algebra if and only if A and B are hyper-Tauberian algebras.

Keywords