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
On Normal Fuzzy Soft Group
In this paper, we introduce the concept of normal fuzzy soft group. We also define the level subsets of a normal fuzzy soft subgroup and discussed some of its properties.
A Related Fixed Point Theorem of Integral Type on Two Complete Fuzzy Metric Spaces
A related fixed point theorem for two pairs of mappings on two complete fuzzy metric spaces satisfying integral type inequalities is obtained. The result extends a result of R.K. Namdeo, N.K. Tiwari, B. Fisher and K. Tas...
On Relative Preclosedness of Strongly Compact (Countably p-Compact) Sets
In this paper, we study the preclosedness of strongly compact (countably p-compact) subsets of subspaces of strongly p-normal spaces. Consequences of the result for unions of specific sets are given. Examples are given t...
Strongly θgs-Closed Functions and Strongly θgs-Homeomorphism
The aim of this paper is to introduce and study of a new type of function called strongly θgs-closed function and new class of homeomorphism called strongly θgs-homeomorphism in topological spaces. Also, we obtain its ch...
On Predicting the Next Term of a Sequence
When introducing sequences to students, the first skill we teach them is how to predict the next term of a sequence given the first few terms, usually the first three, four or five terms. In this note, we intend to show...