Tensor Product Semigroups

Roshdi Rasheed Khalil, Rudaina Abdul-Ghaffar Al-Mirbati, Driss Drissi

Abstract

Let

X and Y be Banach spaces and L(X,Y) be the space of all bounded linear operators from X to Y.  If X = Y, we write L(X) forL(X,Y).Let X Y be the tensor product of X and Y , and X Y be the completion of XY with respect to a uniform cross norm. In this paper, we present an extension of the Hille-Yosida Theorem to tensor product semigroups.

Keywords

Semigroups of operators, Tensor product

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