Γ-DERIVATIONS AND THEIR NORM PROPERTIES IN THE PROJECTIVE TENSOR PRODUCT OF Γ-BANACH ALGEBRAS

Nilima Dutta

Abstract


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This paper deals with many illuminating results on different derivations in the Projective Tensor product of  Banach algebras. The following results are established here:

Let (B,  ) be the projective tensor  product of two  Banach algebras ( . If   be generalized derivations / generalized Jordan derivations / generalized inner derivations on (  respectively, then there exists a derivation  on the projective tensor product (B,  having the same properties. Moreover,  is a crucial result in this field.


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