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Tensor sum of infinitesimal generators

Published:2022 Issue:17 Volume:36 Page:5835-5842
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Minaee Azari¹,Niknam Asadollah¹,Dadkhah Ali¹

Affiliation:

1. Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

Abstract

Let A and B be C*-algebras, and let ? be a derivation on the tensor product A ? B endowed with a uniform cross norm. In this paper, we present a decomposition for ? as ? = ? ? id + id ? ?, where id stands for the identity operator and ? and ? are derivations on A and B, respectively. Moreover, the concept of flow on the tensor product of C*-algebras and some properties of tensor sum are investigated.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference15 articles.

1. N. H. Abdelaziz, Commutativity and generation of n-parameter semigroups of bounded linear operators, Houston J. Math. 9 (2) (1983) 151-156. operators, Houston J. Math. 9 (2) (1983) 151-156.

2. S. Arora, S. Sharda, On two parameter semigroup of operators, Lecture Notes in Mathematics, 1511, Proceedings of a Conference held in Memory of U.N. Singh, New Delhi, India, 2-6 August 1990.

3. B.N. Cooperstein, Advanced Linear Algebra, University of California Santa Cruz, Taylor and Francis, 2015.

4. R. Khalil and S. Alsharif, On the generator of two Parameter Semigroups, Journal of Applied Mathematics and Computation, 156 (2004) 403-414.

5. A. Kishimoto, Flow on C*-algebra. Department of Mathematics, Hokkaido University, Sapporo, (2003) 1-25.

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