On Hilbert-Schmidt Tuples of Commutative Bounded Linear Operators on
Separable Banach Spaces

Mezban Habibi

doi:https://doi.org/10.14445/22315373/IJMTT-V8P514

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 8 | Number 2 | Year 2014 | Article Id. IJMTT-V8P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V8P514

On Hilbert-Schmidt Tuples of Commutative Bounded Linear Operators on Separable Banach Spaces

Mezban Habibi

Abstract

In this paper, we will study some properties of Tuples that there components are commutative bounded linear operators on a separable Hilbert space H, then we will develop those properties for infinity-Tuples and find some conditions for them to be Hilbert-Schmidt infinity tuple. The infinity-Tuples is called Hilbert-Schmidt infinity tuple if for every orthonormal basis {µi} and {λi} in H we have had Calculation of doing by supreme over i for i=1, 2, 3...

Keywords

Hypercyclic vector, Hypercyclicity Criterion, Hilbert-Schmidt, Infinity -tuple, Periodic point.

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Citation :

Mezban Habibi, "On Hilbert-Schmidt Tuples of Commutative Bounded Linear Operators on Separable Banach Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 8, no. 2, pp. 103-111, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V8P514