Norm inequalities for the generalised commutator in Banach algebras [PDF]
, 2021 In this paper, by utilising the Riesz functional calculus in a Banach algebra B, we provide some norm inequalities for the generalized commutator f(y)z zf(x) where x; y; z 2 B and f is an analytic function for which the elements f(y) and f(x) exist ...
Silvestru Sever Dragomir
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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
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Some Trace Inequalities for Operators in Hilbert Spaces [PDF]
, 2014 Some new trace inequalities for operators in Hilbert spaces are provided. The superadditivity and monotonicity of some associated functionals are investigated and applications for power series of such operators are given.
Dragomir, Silvestru Sever
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Some Inequalities for Trace Class Operators Via a Kato's Result [PDF]
, 2014 By the use of the celebrated Kato's inequality we obtain in this paper some new inequalities for trace class operators on a complex Hilbert space H.
Dragomir, Silvestru Sever
core
Bounding the Čebyšev function for a differentiable function whose derivative is h or λ-convex in absolute value and applications [PDF]
, 2016 Some bounds for the Čebyšev functional of a differentiable function whose derivative is h or λ-convex in absolute value and applications for functions of selfadjoint operators in Hilbert spaces via the spectral representation theorem are ...
Dragomir, Sever S
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Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces [PDF]
, 2015 Some inequalities for quantum f-divergence of trace class operators in Hilbert spaces are obtained. It is shown that for normalised convex functions it is nonnegative.
Dragomir, Sever S
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Spear operators between Banach spaces
, 2017 The aim of this manuscript is to study \emph{spear operators}: bounded linear operators $G$ between Banach spaces $X$ and $Y$ satisfying that for every other bounded linear operator $T:X\longrightarrow Y$ there exists a modulus-one scalar $\omega$ such ...
Kadets, Vladimir +3 more
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Inequalities For Numerical Radius And The Spectral Norm Of Hilbert Space Operators [PDF]
, 2013 Let (H,< .,. >) be a complex Hilbert space and B(H) denote the C-algebra of all bounded linear operators on H. In this paper we establishinequalities for numerical radius and the spectral norm of Hilbert spaceoperators , from the previous ...
Al-Hawari, M.
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Tensorial and Hadamard product inequalities of Schwarz type for selfadjoint operators in Hilbert spaces [PDF]
Let H be a Hilbert space. In this paper we show among others that, if the functions f, g : I ⊂ R →[0,∞) are continuous and A, B are selfadjoint operators with spectra Sp (A) , Sp (B) ⊂ I, then f2 (A) ⊗ g2 (B) + g2 (A) ⊗ f2 (B) ≥ h f2(1−λ) (A) g2λ (A) i ⊗
Silvestru Sever Dragomir
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A simple proof of the Polar Decomposition Theorem [PDF]
, 2016 In this expository paper, we present a new and easier proof of the Polar Decomposition Theorem. Unlike in classical proofs, we do not use the square root of a positive matrix.
Wójcik, Paweł
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