Results 21 to 30 of about 51 (50)

Operators with equal projections related to their generalized inverses [PDF]

, 2004
In this article we characterize operators on Banach spaces which have the same projections related to their outer or inner generalized inverses. As corollaries, we obatin well-known results for the Drazin inverse of bounded operators. Keywords: Outer and
Yimin Wei, Dragan S Djordjević
core  

A new extended Mulholland's inequality involving one partial sum

Open Mathematics
By using the weight coefficients and the techniques of real analysis, a new extended Mulholland’s inequality with multi-parameters involving one partial sum is given. The equivalent statements of the best value related to several parameters are provided.
Peng Ling, Yang Bicheng
doaj   +1 more source

Nilpotent perturbations of m-isometric and m-symmetric tensor products of commuting d-tuples of operators

Demonstratio Mathematica
If T1{{\mathbb{T}}}_{1} and T2{{\mathbb{T}}}_{2} are commuting dd-tuples of Hilbert space operators in B(ℋ)dB{\left({\mathcal{ {\mathcal H} }})}^{d} such that (T1*⊗I+I⊗T2*,T1⊗I+I⊗T2)\left({{\mathbb{T}}}_{1}^{* }\otimes I+I\otimes {{\mathbb{T}}}_{2}^{* },{
Duggal Bhagwati Prashad, Kim In Hyoun
doaj   +1 more source

What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion

Special Matrices
We introduce an operator-theoretic definition of a proper graph Laplacian as any matrix associated with a given graph that can be expressed as the composition of a divergence and a gradient operator, with the gradient acting between graph-related spaces ...
Estrada Ernesto
doaj   +1 more source

Quantum injectivity of G-frames in Hilbert spaces

Demonstratio Mathematica
Inspired by some recent work on the quantum detection problem by discrete frames and continuous frames, in this article, we examine the quantum detection problem with G-frames.
Hong Guoqing, Wan Linbin, Zhang Jianxia
doaj   +1 more source

Kantorovich-Bernstein _α-Fractal function in Lp spaces

, 2020
Fractal interpolation functions are xed points of contraction maps on suitable function spaces. In this paper, we introduce the  Kantorovich-Bernstein -fractal operator in the Lebesgue space Lp(I); 1 ≤ p ≤ 1. The main aim of this article is to study
Jha, Sangita, Chand, A.K.B., Navascués, M.A.   +2 more
core  

Core-EP pre-order of Hilbert space operators

, 2018
A new binary relation associated with the core-EP inverse is presented and studied on the corresponding subset of all generalized Drazin invertible bounded linear Hilbert space operators.
Mosić, Dijana
core  

Operators commuting with complex symmetric weighted composition operators on H 2

Concrete Operators
In this article, we initially study when an anti-linear Toeplitz operator is in the commutant of a composition operator. Primarily, we investigate weighted composition operators Wg,ψ{W}_{g,\psi } commuting with complex symmetric weighted composition ...
Bhuia Sudip Ranjan
doaj   +1 more source

$S$-Ultralinear algebra in the space of tempered distributions

, 2001
The aim of this paper is to introduce some new concepts that provide the space of tempered distributions with others "linear" structures in addition to its natural structure of linear vector space.
Carfì, David
core  

On the Normality of the Unbounded Product of Two Normal Operators

Concrete Operators, 2012
Mortad Mohammed Hichem
doaj   +1 more source