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

	International Journal of Mathematical Trends and Technology (IJMTT)
	© 2014 by IJMTT Journal
	Volume-8 Number-2
	Year of Publication : 2014
	Authors : Mezban Habibi
	10.14445/22315373/IJMTT-V8P514

Mezban Habibi. "On Hilbert-Schmidt Tuples of Commutative Bounded Linear Operators on Separable Banach Spaces", International Journal of Mathematical Trends and Technology (IJMTT). V8:103-111 April 2014. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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...

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