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On Compact Operators Whose Norms Are Eigenvalues and Completeness
(International Journal of Contemporary Mathematical Sciences, 2/21/2018)
Let X be a Banach space and T: X→Y be a linear operator, then Tis compact if it maps bounded sequences in X to sequences in Y with convergent subsequences, that is, if xn ∈ X is a bounded sequence, then T xn ∈ Y has a ...
On Characterization of Very Rotund Banach Spaces
(International Journal of Modern Computation, Information and Communication Technology, 10/23/2018)
It is known that the Hilbert space H is the most rotund space among all Banach spaces. The question whether if a normed space X is a rotund Banach space implies we can obtain other most rotund spaces is still open and ...
On Compactness of Similarity Orbits of Norm-Attainable Operators
(International Journal of Mathematics And its Applications, 2019)
The notion of compactness plays an important role in analysis. It has been extensively discussed on both metric and topological spaces. Various properties of compactness have been proved under the underlying spaces. However, ...
Completely Positive Map from M4(C) to M5(C) on Positive Semidefinite Matrices
(Journal of Mathematical Analysis and Modeling, 3/29/2022)
Positive Maps Are Essential In the Description of Quantum Systems. However, Characterization Of The Structure Of The Set Of All Positive Maps Is A Challenge In Mathematics And Mathematical Physics. We Construct A Linear ...
Fixed Points Approximation for Non Expansive Operators in Hilbert Spaces
(Int. J. Open Problems Compt. Math, 2/2/2021)
Approximations of fixed points have been done in different space and classes. However, characterizations in norm attainable classes remain interesting. This paper discusses approximation of nonexpansive operators in Hilbert ...
On Norm Estimates for Derivations in Norm-Attainable Classes
(Eur. J. Math. Anal, 2023)
In this note, we provide detailed characterization of operators in terms of norm-attainability and norm estimates in Banach algebras. In particular, we establish the necessary and sufficient conditions for norm-attainability ...
Conditions for Positivity of Operators in Non-unital C*-algebras
(International Journal of Mathematical Analysis, 1/9/2015)
In this paper, we present results on the necessary and sufficient condi-tions for positivity of operators in non-unital C*- algebras
Wilson-Theta Algorithm Approach to solution of Dynamic Vibration Equations
(ResearchGate, 2014)
In this paper, we examine conservative autonomous dynamic vibration equation, x¨ = − tanh2 x, which is time vibration of the displacement of a structure due to the internal forces, with no damping or external forcing. ...
Choi Matrices of 2-positive Maps on Positive Semidefinite Matrices
(Asian Research Journal of Mathematics, 4/27/2020)
Several investigations have been done on positive maps on their algebraic structures with more emphasis on completely positive maps. In this study we have described the structure of the Choi matrices for 2−positive maps ...