TITLE:
A Characterization of Jacobson Radical in Γ-Banach Algebras
AUTHORS:
Nilakshi Goswami
KEYWORDS:
Γ-Algebra; Right Quasi Regularity; Tensor Product; Operator Banach Algebra
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.6,
November
20,
2012
ABSTRACT: Let V1 and V2 be two -Banach algebras and Ri be the right operator Banach algebra and Li be the left operator Banach algebra of Vi(i=1,2). We give a characterization of the Jacobson radical for the projective tensor product V1rV2 in terms of the Jacobson radical for R1rL2. If V1 and V2 are isomorphic, then we show that this characterization can also be given in terms of the Jacobson radical for R2rL1.