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A Characterization of Jacobson Radical in Γ-Banach Algebras
Department of Mathematics, Gauhati University, Guwahati, India
- 1 Department of Mathematics, Gauhati University, Guwahati, India
Advances in Pure Mathematics·Volume 02 (2012)·Pages 413–418·Published 9 November 2012·DOI10.4236/apm.2012.26062
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Abstract
Let V 1 and V 2 be two -Banach algebras and R i be the right operator Banach algebra and L i be the left operator Banach algebra of V i (i=1,2). We give a characterization of the Jacobson radical for the projective tensor product V 1 r V 2 in terms of the Jacobson radical for R 1 r L 2 . If V 1 and V 2 are isomorphic, then we show that this characterization can also be given in terms of the Jacobson radical for R 2 r L 1 .
KeywordsΓ-AlgebraRight Quasi RegularityTensor ProductOperator Banach Algebra
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