Results 21 to 30 of about 76 (34)

Inequalities For Numerical Radius And The Spectral Norm Of Hilbert Space Operators [PDF]

open access: yes, 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.
core   +1 more source

Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces [PDF]

open access: yes, 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
core   +1 more source

Bounding the Čebyšev function for a differentiable function whose derivative is h or λ-convex in absolute value and applications [PDF]

open access: yes, 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
core   +1 more source

Spear operators between Banach spaces

open access: yes, 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
core   +1 more source

Operator upper bounds for Davis-Choi-Jensen's difference in Hilbert spaces [PDF]

open access: yes
In this paper we obtain several operator inequalities providing upper bounds for the Davis-Choi-Jensen's Difference Ph (f (A)) - f (Ph (A)) for any convex function f : I → R, any selfadjoint operator A in H with the spectrum Sp (A) ⊂ I and any linear ...
Dragomir Silvestru Sever
core   +1 more source

New counterexamples on Ritt operators, sectorial operators and R-boundedness

open access: yes, 2018
Let $\mathcal D$ be a Schauder decomposition on some Banach space $X$. We prove that if $\mathcal D$ is not $R$-Schauder, then there exists a Ritt operator $T\in B(X)$ which is a multiplier with respect to $\mathcal D$, such that the set $\{T^n\, :\, n ...
Arnold, Loris, Merdy, Christian Le
core  

Extremely non-complex Banach spaces

open access: yesOpen Mathematics, 2011
Martín Miguel, Merí Javier
doaj   +1 more source

A new approach to $\gamma$-bounded representations

open access: yes
Let $X$ be a Banach space, let $(\Omega,\mu)$ be a $\sigma$-finite measure space and let $A,B\colon\Omega\to B(X)$ be strongly measurable $\gamma$-bounded functions.
Merdy, Christian Le
core  

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