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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 ...
Numerical Analysis of Mathematical Model for Carbon Pollution in Roads with Ventilated Embankments in Absence and Presence of Forced Convection
(International Journal of Multidisciplinary Sciences and Engineering, 2018-11)
In this paper, a two-dimensional grid based numerical carbon pollution model for the estimation of carbon pollutant concentrations in roads is developed. The simulations of carbon pollutants in roads with ventilated ...
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, ...
Estimation of market volatility-A case of logistic brownian motion
(International Journals of Marketing and Technology, 6/29/2013)
In this paper, we have used the Dupire's equation to derive the volatility model when the asset price follows logistic Brownian motion. We have used the analysis of Brownian motion, logistic Brownian motion, derivation of ...
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 ...
On Equality of Complete Positivity and Complete Copositivity of Positive Map
(Journal of Linear and Topological Algebra, 5/30/2022)
In this paper we construct a 2-positive map from M4(C) to M5(C) and state the
conditions under which the map is positive and completely positive (copositivity of positive).
The construction allows us to create a decomposable ...
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