We establish the algebraic reflexivity of three isometry groups of operator structures: The group of all surjective isometries on the unitary group, the group of all surjective isometries on the set of all positive invertible operators equipped with the Thompson metric, and the group of all surjective isometries on the general linear group of B(H), the operator algebra over a complex infinite d...

Let A be a function algebra on a locally compact Hausdorff space. A linear isometry T : A −→ A is said to be of codimension 1 if the range of T has codimension 1 in A. In this paper, we provide and study a classification of codimension 1 linear isometries on function algebras in general and on Douglas algebras in particular.

The main purpose of this study is to discuss the uniform boundednessprinciple in fuzzifying topological linear spaces. At first theconcepts of uniformly boundedness principle and fuzzy equicontinuousfamily of linear operators are proposed, then the relations betweenfuzzy equicontinuous and uniformly bounded are studied, and with thehelp of net convergence, the characterization of fuzzyequiconti...

Abstract. Theoretical concepts of graphs are highly utilized by computer scientists. Especially in research areas of computer science such as data mining, image segmentation, clustering image capturing and networking. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that they allowed the degree of membership of a vertex to an edge to be represe...

This paper improves bounds for restricted isometry constant (RIC) in compressed sensing. Let Φ be a m × n real matrix and k be a positive integer with k ≤ n. The main results of this paper show that if the restricted isometry constant of Φ satisfies δk+ak < 3 2 − 1 + √ (4a+ 3)2 − 8 8a for a > 3 8 , then k-sparse solution can be recovered exactly via l1 minimization in the noiseless case. In par...

It is known that the basic tensor valuations which, by a result of S. Alesker, span the vector space of tensor-valued, continuous, isometry covariant valuations on convex bodies, are not linearly independent. P. McMullen has discovered linear dependences between these basic valuations and has implicitly raised the question as to whether these are essentially the only ones. The present paper pro...

Bivalves are known to exhibit wide morphological variations, which closely linked their ecology and reproductive activity. Therefore, the study of growth is necessary model population dynamics, which, in turn, crucial support exploitation management stock. The current aimed analyze shell variations bivalve Ark Arca noae collected monthly from Bizerte lagoon (northern Tunisian coasts) October 20...

Abstract. Because of their sparsity enhancing properties, `1 penalty terms have recently received much attention in the field of inverse problems. Also, it has been shown that certain properties of the linear operator A to be inverted imply that `1-regularization is equivalent to `0-regularization, which tries to minimise the number of non-zero coefficients. In the context of compressed sensing...