On Hilbert-Schmidt Tuples of Commutative Bounded Linear Operators on Separable Banach Spaces
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 8, Issue 2
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.
Authors and Affiliations
Mezban Habibi
Keywords
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