Results 1 to 10 of about 486 (64)
Topological Algebra and its Applications, 2023 In this article, we study the λ\lambda -commuting of bounded linear operators on ultrametric Banach spaces and the determinant spectrum of ultrametric matrices.
Ettayb Jawad
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Idempotent operator and its applications in Schur complements on Hilbert C*-module
Special Matrices, 2023 The present study proves that TT is an idempotent operator if and only if R(I−T∗)⊕R(T)=X{\mathcal{ {\mathcal R} }}\left(I-{T}^{\ast })\oplus {\mathcal{ {\mathcal R} }}\left(T)={\mathcal{X}} and (T∗T)†=(T†)2T{\left({T}^{\ast }T)}^{\dagger }={\left({T ...
Karizaki Mehdi Mohammadzadeh +1 more
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Miscellaneous equalities for idempotent matrices with applications
Open Mathematics, 2020 This article brings together miscellaneous formulas and facts on matrix expressions that are composed by idempotent matrices in one place with cogent introduction and references for further study.
Tian Yongge
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Bu’s theorem in the positive situation
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we valorize the relationship between positive p−summing operators and positive strongly q−summing operators using (Contemp. Math. 328, 145 − 149 (2003)).
Bougoutaia Amar, Belacel Amar
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B-Fredholm elements in primitive C*-algebras
Open Mathematics, 2022 Let A{\mathcal{A}} be a unital primitive C∗\ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A{\mathcal{A}}. Particularly, this article describes the B-Fredholm element as the
Kong Yingying, Jiang Lining
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Structure of n-quasi left m-invertible and related classes of operators
Demonstratio Mathematica, 2020 Given Hilbert space operators T,S∈B(ℋ)T,S\in B( {\mathcal H} ), let Δ\text{Δ} and δ∈B(B(ℋ))\delta \in B(B( {\mathcal H} )) denote the elementary operators ΔT,S(X)=(LTRS−I)(X)=TXS−X{\text{Δ}}_{T,S}(X)=({L}_{T}{R}_{S}-I)(X)=TXS-X and δT,S(X)=(
Duggal Bhagwati Prashad, Kim In Hyun
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On quasi-contractivity of C 0-semigroups on Banach spaces [PDF]
, 2004 A basic result in semigroup theory states that every C-0-semigroup is quasi-contractive with respect to some appropriately chosen equivalent norm. This paper contains a counterpart of this well-known fact.
Matolcsi, Máté
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Norm and Numerical Radius Inequalities for Sums of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2006 Some inequalities for the operator norm and numerical radius of sums of bounded linear operators in Hilbert spaces are given.
Dragomir, Sever S
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Invariance property of a five matrix product involving two generalized inverses
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Matrix expressions composed by generalized inverses can generally be written as f(A−1, A−2, . . ., A−k), where A1, A2, . . ., Ak are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix.
Jiang Bo, Tian Yongge
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Oblique projections and frames [PDF]
, 2006 We characterize those frames on a Hilbert space H which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension K of H.
Antezana, Jorge Abel +3 more
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