Title of article :
Arens-irregularity of tensor product of Banach algebras
Author/Authors :
Yazdanpanah, Taher Department of Mathematics - Persian Gulf University, Boushehr , Gharibi, Raziyeh Department of Mathematics - Persian Gulf University, Boushehr
Abstract :
We introduce Banach algebras arising from tensor norms. By these Banach algebras we make Arens
regular Banach algebras such that α tensor product becomes irregular, where α is tensor norm. We
illustrate injective tensor product, does not preserve bounded approximate identity and it is not
algebra norm.
Keywords :
Arens products , Arens regularity , compact operators , approximable operators , nuclear operators , tensor norm , approximate identity , approximation property
Journal title :
Astroparticle Physics
