Tensor Product Semigroups

Authors

  • Roshdi Rasheed Khalil Mr. (Prof.)
  • Rudaina Abdul-Ghaffar Al-Mirbati Miss
  • Driss Drissi Mr. (Dr.)

Keywords:

Semigroups of operators, Tensor product

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.

Author Biographies

  • Roshdi Rasheed Khalil, Mr. (Prof.)

    Mathematics Department

    Professor

  • Rudaina Abdul-Ghaffar Al-Mirbati, Miss

    Mathematics Department

    Faculty

  • Driss Drissi, Mr. (Dr.)

    Department of Mathematics and Computer Science.

    Associate Professor

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Published

2010-12-11

Issue

Vol. 3 No. 5: (October 2010)

Section

Functional Analysis

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How to Cite

Tensor Product Semigroups. (2010). European Journal of Pure and Applied Mathematics, 3(5), 881-898. https://www.ejpam.com/index.php/ejpam/article/view/502