Arens-irregularity of tensor product of Banach algebras

Authors

  • R. Gharibi aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran.
  • T. Yazdanpanah aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran.
Abstract:

We introduce Banach algebras arising from tensor norms. By these Banach algebras we make Arensregular Banach algebras such that tensor product becomes irregular, where is tensor norm. Weillustrate injective tensor product, does not preserve bounded approximate identity and it is notalgebra norm.

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Journal title

volume 5  issue 1 (Special Issue)

pages  1- 8

publication date 2014-01-01

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