SUBSPACE MIXING AND UNIVERSALITY CRITERION FOR A SEQUENCE OF OPERATORS

Authors

  • A. Tajmouati Sidi Mohamed Ben Abdellah University - Laboratory of Mathematical Analysis and Applications
  • M. Amouch University Chouaib Doukkali - Department of Mathematics
  • M.R.F. Alhomidi Zakariya Sidi Mohamed Ben Abdellah University - Laboratory of Mathematical Analysis and Applications
  • M. Abkari Sidi Mohamed Ben Abdellah University - Laboratory of Mathematical Analysis and Applications

Keywords:

Banach space operators, sequence of operators, subspace mixing, universality criterion

Abstract

Let B(X) denote the algebra of all bounded linear operators on an infinite-dimensional separable complex Banach space X and M be a nonzero subspace of X.  We will characterize properties of being d − M mixing for a N ≥ 2 sequence T1,j , T2,j , ... , TN,j of operators in B(X).  Also, we will give necessary and sufficient conditions for a N ≥ 2 sequence T1,j , T2,j , ... , TN,j of operators in B(X) to satisfy d − M universality criterion in terms of d-M topologically transitivity of this sequence.

Cover of n°37 Italian Journal of Pure and Applied Mathematics

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Published

2017-01-31

How to Cite

Tajmouati, A., Amouch, M., Zakariya, M. A., & Abkari, M. (2017). SUBSPACE MIXING AND UNIVERSALITY CRITERION FOR A SEQUENCE OF OPERATORS. Italian Journal of Pure and Applied Mathematics, 37, 339–346. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6705

Issue

N°37 - January 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 A. Tajmouati, M. Amouch, M.R.F. Alhomidi Zakariya, M. Abkari

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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