Results 1 to 10 of about 441 (58)
Annales Mathematicae Silesianae, 2021 For a continuous and positive function ω (λ); λ> 0 and μ a positive measure on [0; ∞) we consider the following 𝒟-logarithmic integral transform𝒟ℒog(w,μ)(T):=∫0∞w(λ)1n(λ+Tλ)dμ(λ),\mathcal{D}\mathcal{L}og\left( {w,\mu } \right)\left( T \right): = \int_0 ...
Dragomir Silvestru Sever
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Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions
Concrete Operators, 2021 The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras.
Vasilescu Florian-Horia
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Gradient Inequalities for an Integral Transform of Positive Operators in Hilbert Spaces
Annales Mathematicae Silesianae, 2023 For a continuous and positive function w (λ) , λ > 0 and µ a positive measure on (0, ∞) we consider the following integral transform 𝒟(w,μ)(T):=∫0∞w(λ)(λ+T)-1dμ(λ),\mathcal{D}\left( {w,\mu } \right)\left( T \right): = \int_0^\infty {w\left( \lambda ...
Dragomir Silvestru Sever
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Journal of Inequalities and Applications, 2014 We introduce and investigate the notion of an operator P-class function. We show that every nonnegative operator convex function is of operator P-class, but the converse is not true in general.
M. Bakherad +3 more
semanticscholar +2 more sources
Itô's formula for noncommutative $C^2$ functions of free Itô processes
Documenta Mathematica, 2022 In a recent paper, the author introduced a rich class NC(R) of “noncommutative C” functions R → C whose operator functional calculus is k-times differentiable and has derivatives expressible in terms of multiple operator integrals (MOIs).
Evangelos A. Nikitopoulos
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Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2022 For a continuous and positive function w ( ) ; > 0 and a positive measure on (0;1) we consider the following integral transform D (w; ) (T ) := Z 1 0 w ( ) ( + T ) 1 d ( ) ; where the integral is assumed to exist for T a positive operator on a complex ...
S. Dragomir
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On a functional calculus for unitary operators in Pontryagin spaces
, 2020 This work is devoted to a functional description of the weakly closed algebra generated by a Pontryagin Space unitary operator under the condition that this operator contains a part like the two-side shift operator.
V. Strauss
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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
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Estimates for Tsallis relative operator entropy [PDF]
, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru +2 more
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On further refinements for Young inequalities
Open Mathematics, 2018 In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
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