Results 1 to 10 of about 579 (72)

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

On a conjecture by Mbekhta about best approximation by polar factors [PDF]

open access: yes, 2021
The polar factor of a bounded operator acting on a Hilbert space is the unique partial isometry arising in the polar decomposition. It is well known that the polar factor might not be a best approximant to its associated operator in the set of all ...
E. Chiumiento
semanticscholar   +1 more source

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

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

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

On a more accurate reverse Hilbert-type inequality in the whole plane

open access: yes, 2020
In the present paper, using weight coefficients and applying Hermite-Hadamard’s inequality, we derive a new, more accurate reverse Hilbert-type inequality in the whole plane with multi-parameters involving the cosine and natural logarithm functions.
M. Rassias   +2 more
semanticscholar   +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

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

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