Browsing by Title
Now showing items 8511-8530 of 12107
-
On Compact Operators whose Norms are Eigenvalues
(JOOUST, 2019)The class of compact operators is fundamental in operato_Lllle~+Y.• Char-acterization of compact operators acting on different sp~ces has been fas-cinating to many Mathernaticians., Many properties such as bounded¬ness, ... -
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 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, ... -
On Complete Positively and Boundedness of Operators on Non- Unital C*- Algebras.
(JOOUST, 2017)Properties of completely positive and completely bounded operators are fundamental in understanding the applications of operator theory in other fields like quantum mechanics. Up to date the question as to whether com• ... -
On Continuity and Separability in Bitopological Spaces
(JOOUST, 2023)Many studies have been conducted on properties of bitopological spaces and aspects of continuity over a long period of time and different results have been obtained so far. However, pointwise characterization of various ... -
On denseness of similarity orbits of norm-attainable operators
(International Journal of Advances in Applied Mathematics and Mechanics, 4/16/2019)The notion of dense sets has been extensively discussed on both metric and topological spaces. Various properties of the sets have been proved under the underlying spaces. However, if we consider these sets to be from ... -
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 ... -
On local minimum and orthogonality of normal derivations in Cp-classes
(G.I publications, 2017-02)The present paper gives some results on local minimum and orthogonality of normal derivations in Cp-Classes. We employ some techniques for normal derivations due to Mecheri, Hacene, Bounkhel and Anderson. Let CpCp be normal, ... -
On necessary and sufficient conditions for rationality of operator norm bounds in measure spaces
(2016-11)Norm bounds are useful properties of operators with interesting applications in operator algebras and quantum mechanics. Rationality of these norm bounds is very important in the study of operators in measure spaces. As a ... -
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 ... -
On Norm Inequalities and Orthogonality of Commutators of Derivations
(Arxvi, 2019-03-25) -
On norm preserving conditions for local automorphisms of commutative banach algebras
(JOOUST, 6/24/2015)The history of commutative algebra first appeared in 1890 by David Hilbert which was then followed by Banach spaces in 1924 since localization reduces many problems of geometric special case into commutative algebra problems ... -
On Norm Preserving conditions for Local Automorphisms of Commutative Banach Algebras
(JOOUST, 2017)Most studies on preserver problems have been on linear preserver prob¬lems (LPPs) in matrix theory. It is known that local derivations of Von Neumann algebras are continuous linear maps, which coincide with some derivation ... -
On norm preserving conditions for local automorphisms of commutative banach algebras
(2016)Many studies on preserver problems have been focusing on linear preserver problems in matrix theory. Kadison and Sourour showed that the local derivations of Von Neumann algebras are continous linear maps which coincide ... -
On Normality and Compactness of Dense Topological Subspaces
(JOOUST, 2019)Many studies have been conducted on dense topological subspaces over along period of time and interesting results have been obtained. Normality and compactness on topological subspaces have also been investigated by many ... -
On norms and numerical radii in equalities for (a,B)-normal transaloid operators.
(JOOUST Msc. Student, 2015)The study aim at development of a diabetic medical Kit -
On Norms of Normally Represented Elementary Operators.
(JOOUST, 2018)The' study of elementary operators has been of great interest dating back to many decades when it was initiated by Sylvester in 1884.A number• of scholars have described several properties of elementary ... -
On numerical radius attainability for normal self-adjoint operators
(JOOUST, 6/24/2015)The numerical range and numerical radius are very useful in studying linear operators acting on Hilbert spaces. The operators include normal, hyponormal, normaloid, transaloid, self-adjoint, subnormal, compact and unitary. ... -
On numerical ranges of convexoid operators
(G.I publications, 2017-02)Numerical range is useful in studying operators on Hilbert spaces. In particular, the geometrical properties of numerical range often provide useful information about algebraic and analytic properties of an operator. The ... -
On shift of mindset: the importance of change of mindset in helping students get better at getting better in mathematics
(JOOUST, 6/24/2015)That mathematics is important in enhancing creativity, innovativeness and technological development is undisputable. Kenya like any other African country is endowed with reach human resource yet lesscompetitive ...