Results 51 to 60 of about 1,171 (115)
On a class of shift-invariant subspaces of the Drury-Arveson space
Concrete Operators, 2018 In the Drury-Arveson space, we consider the subspace of functions whose Taylor coefficients are supported in a set Y⊂ ℕd with the property that ℕ\X + ej ⊂ ℕ\X for all j = 1, . . . , d.
Arcozzi Nicola, Levi Matteo
doaj +1 more source
Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces
Acta Universitatis Sapientiae: Mathematica, 2017 Some trace inequalities of Cassels type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever S.
doaj +1 more source
Some Levin-Steckin's Type Inequalities for Operator Convex Functions on Hilbert Spaces [PDF]
arXiv, 2020 In this paper we obtain some operator versions of Levin-Steckin integral inequality.
arxiv
Monotone matrix functions of successive orders [PDF]
, 2004 This paper extends a result obtained by Wigner and von Neumann. We prove that a non-constant real-valued function, f(x), in C^3(I) where I is an interval of the real line, is a monotone matrix function of order n+1 on I if and only if a related, modified
Nayak, Suhas
core
Fundamental Hlawka-like inequalities for three and four vectors
, 2020 We investigate Hlawka-like inequalities for three vectors and determine necessary and sufficient conditions such that a1 3 ∑ i=1 ‖xi‖+a2 ∑ 1 i< j 3 ∥ xi + x j ∥ ∥+a3‖x1 + x2 + x3‖ 0 is satisfied for all x1,x2,x3 in a Hlawka space.
Marius Munteanu
semanticscholar +1 more source
Concave functions of partitioned matrices with numerical ranges in a sector
, 2017 We prove two inequalities for concave functions and partitioned matrices whose numerical ranges in a sector. These complement some results of Zhang in [Linear Multilinear Algebra 63 (2015) 2511–2517].
L. Hou, D. Zhang
semanticscholar +1 more source
Refinements of Hermite-Hadamard type inequalities for operator convex functions
, 2013 The purpose of this paper is to present some new versions of Hermite-Hadamard type inequalities for operator convex functions. We give refinements of Hermite-Hadamard type inequalities for convex functions of self-adjoint operators in a Hilbert space ...
Vildan Bacak, Ramazan Türkmen
semanticscholar +1 more source
Norm inequalities of Čebyšev type for power series in Banach algebras
Journal of Inequalities and Applications, 2014 Let f(λ)=∑n=0∞αnλn be a function defined by power series with complex coefficients and convergent on the open disk D(0,R)⊂C, R>0 and x,y∈B, a Banach algebra, with xy=yx.
S. Dragomir +3 more
semanticscholar +1 more source
An Operator Extension of Čebyšev Inequality
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 Some operator inequalities for synchronous functions that are related to the čebyšev inequality are given. Among other inequalities for synchronous functions it is shown that ∥ø(f(A)g(A)) - ø(f(A))ø(g(A))∥ ≤ max{║ø(f2(A)) - ø2(f(A))║, ║ø)G2(A)) - ø2(g(A))
Moradi Hamid Reza +2 more
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A monotonicity version of a concavity theorem of Lieb [PDF]
arXiv, 2022 We give a simple proof of a strengthened version of a theorem of Lieb that played a key role in the proof of strong subadditivity of the quantum entropy.
arxiv