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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
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

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.
References

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