Results 1 to 10 of about 63 (62)

Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation

open access: yesBoundary Value Problems, 2011
The purpose of writing this article is to show some spectral properties of the Bessel operator equation, with spectral parameter-dependent boundary condition.
Aslanova Nigar
doaj   +2 more sources

λ-Commuting of bounded linear operators on ultrametric Banach spaces and determinant spectrum of ultrametric matrices

open access: yesTopological 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
doaj   +1 more source

Idempotent operator and its applications in Schur complements on Hilbert C*-module

open access: yesSpecial 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
doaj   +1 more source

Miscellaneous equalities for idempotent matrices with applications

open access: yesOpen 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
doaj   +1 more source

Bu’s theorem in the positive situation

open access: yesMoroccan 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
doaj   +1 more source

B-Fredholm elements in primitive C*-algebras

open access: yesOpen 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
doaj   +1 more source

Structure of n-quasi left m-invertible and related classes of operators

open access: yesDemonstratio 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
doaj   +1 more source

Invariance property of a five matrix product involving two generalized inverses

open access: yesAnalele 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
doaj   +1 more source

Spectral Analysis of the Incompressible Viscous Rayleigh–Taylor System in R3

open access: yes, 2022
International audienceThe linear instability study of the viscous Rayleigh-Taylor model in the neighborhood of a laminar smooth increasing density profile ρ 0 (x 3) amounts to the study of the following ordinary differential equation of order 4 − λ 2 [ρ ...
Lafitte, Olivier, Nguyễn, Tiến-Tài
core   +1 more source

Normality and Quasinormality of Specific Bounded Product of Densely Defined Composition Operators in L2 Spaces

open access: yesConcrete Operators, 2022
Let (X, 𝒜, μ) be a σ−finite measure space. A transformation ϕ : X → X is non-singular if μ ∘ ϕ−1 is absolutely continuous with respect with μ. For this non-singular transformation, the composition operator Cϕ: 𝒟(Cϕ) → L2(μ) is defined by Cϕf = f ∘ ϕ, f ∈
Zhou Hang
doaj   +1 more source

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