Results 41 to 50 of about 169 (75)
Some quantum f-divergence inequalities for convex functions of self-adjoint operators [PDF]
, 2019 In this paper, some new inequalities for convex functions of self-adjoint operators are obtained. As applications, we present some inequalities for quantum $f$-divergence of trace class operators in Hilbert ...
Darvish, V +3 more
core +2 more sources
On the multiplicities of the powers of a Banach space operator
, 1985 The multiplicities of the powers of a bounded linear operator T, acting on a complex separable infinite-dimensional Banach space X, satisfy the inequalities (* *) 14(T"") ? 1.
D. Herrero
semanticscholar +1 more source
Rational criterion testing the density of additive subgroups of R^n and C^n [PDF]
, 2015 [EN] In this paper, we give an explicit criterion to decide thedensity of finitely generated additive subgroups of R^n and C^n.This work is supported by the research unit: syst`emes dynamiques et combinatoire: 99UR15-15Elghaoui, M.; Ayadi, A.
Ayadi, Hardy, Waldschmidt
core +3 more sources
, 1986 An operator T means a bounded linear operator on a complex Hilbert space H. We give two types of mixed Hadamard's theorems containing the terms T, ITI and JT*I as extensions of Hadamard's theorem and mixed Schwarz's inequality I(Tx, y) 2 < (ITIx,x)(IT*ly,
T. Furuta
semanticscholar +1 more source
Iterates of an absolutely continuous operator
, 1975 It is proved that the powers of an absolutely continuous polynomially bounded operator, the intersection of whose spectrum with the circle has zero measure, go to zero strongly.
P. Ghatage
semanticscholar +1 more source
Schauder Bases and Operator Theory III: Schauder Spectrums [PDF]
arXiv, 2012 In this paper, we study spectrums of Schauder operators. We show that we always can choose a Schauder operator in a given orbit such that the Schauder spectrum of it is empty.
arxiv
Closed Unitary and Similarity Orbits of Normal Operators in Purely Infinite C*-Algebras
, 2012 We will investigate the norm closure of the unitary and similarity orbits of normal operators in unital, simple, purely infinite C*-algebras. An operator theoretic proof will be given to the classification of when two normal operators are approximately ...
Skoufranis, Paul
core +1 more source
Pompeiu-Chebyshev type inequalities for selfadjoint operators in Hilbert spaces [PDF]
Advances in Operator Theory (AOT), Vol 3, no. 3 (2018), 9--22, 2017 In this work, generalization of some inequalities for continuous $h$-synchronous ($h$-asynchronous) functions of selfadjoint linear operators in Hilbert spaces are proved.
arxiv
Similarity of operators and geometry of eigenvector bundles [PDF]
Publ. Mat. 53 (2009), no. 2, 417--438, 2007 We characterize the contractions that are similar to the backward shift in the Hardy space $H^2$. This characterization is given in terms of the geometry of the eigenvector bundles of the operators.
arxiv
Bounds for a solution set of linear complementarity problems over Hilbert spaces [PDF]
arXiv, 2020 Let $H$ be a real Hilbert space. In this short note, using some of the properties of bounded linear operators with closed range defined on $H$, certain bounds for a specific convex subset of the solution set of infinite linear complementarity problems, are established.
arxiv