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

How to Cite

Khalil, R. R., Al-Mirbati, R. A.-G., & Drissi, D. (2010). Tensor Product Semigroups. European Journal of Pure and Applied Mathematics, 3(5), 881–898. Retrieved from https://www.ejpam.com/index.php/ejpam/article/view/502

Issue

Vol. 3 No. 5: (October 2010)

Section

Functional Analysis

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