Arens-irregularity of tensor product of Banach algebras

Authors
Department of Mathematics, Persian Gulf University, Boushehr, 75168, Iran
Abstract
We introduce Banach algebras arising from tensor norms. By these Banach algebras, we make Arens regular Banach algebras such that $\alpha$ the tensor product becomes irregular, where $\alpha$ is tensor norm. We illustrate injective tensor product, does not preserve bounded approximate identity and it is not algebra norm.
Keywords

  • Receive Date 28 April 2013
  • Revise Date 17 September 2013
  • Accept Date 22 September 2013

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