Results 31 to 40 of about 77,336 (61)

Derivations on triangular Banach algebras of order three [PDF]

open access: yesarXiv, 2013
In this paper, we define some new notions of triangular Banach algebras and we investigate the derivations on these algebras.
arxiv  

Some estimates for the norm of the self-commutator [PDF]

open access: yesarXiv, 2014
Different estimates for the norm of the self-commutator of a Hilbert space operator are proposed. Particularly, this norm is bounded from above by twice of the area of the numerical range of the operator. An isoperimetric-type inequality is proved.
arxiv  

A Note Around Operator Bellman Inequality [PDF]

open access: yesarXiv, 2019
In this paper, we shall give an extension of operator Bellman inequality. This result is estimated via Kantorovich constant.
arxiv  

Operator versions of Hölder inequality and Hilbert $C^*$-modules [PDF]

open access: yesarXiv, 2019
Recently proved weighted Cauchy Scwarz inequality for Hilbert $C^*$-modules leads to many H\"older type inequalities for unitarily invariant norms on Hilbert space operators.
arxiv  

Estimates for Marcinkiewicz commutators with Lipschitz functions under nondoubling measures [PDF]

open access: yes, 2013
A Torchinsky   +36 more
core   +4 more sources

Parabolic Extrapolation and Its Applications to Characterizing Parabolic BMO Spaces via Parabolic Fractional Commutators [PDF]

open access: yesarXiv
In this article, we establish the parabolic version of the celebrated Rubio de Francia extrapolation theorem. As applications, we obtain new characterizations of parabolic BMO-type spaces in terms of various commutators of parabolic fractional operators with time lag.
arxiv  

Commutator lifting inequalities and interpolation [PDF]

open access: yesarXiv, 2003
In this paper we obtain a multivariable commutator lifting inequality, which extends to several variables a recent result of Foias, Frazho, and Kaashoek. The inequality yields a multivariable lifting theorem generalizing the noncommutative commutant lifting theorem. This is used to solve new operator-valued interpolation problems of Schur-Caratheodory,
arxiv  

Local triple derivations on C*-algebras [PDF]

open access: yesarXiv, 2012
We prove that every bounded local triple derivation on a unital C*-algebra is a triple derivation. A similar statement is established in the category of unital JB*-algebras.
arxiv  

The applications of Cauchy-Schwartz inequality for Hilbert modules to elementary operators and i.p.t.i. transformers [PDF]

open access: yesarXiv, 2018
We apply the inequality $\left|\left\right|\le\|x\|\,\left^{1/2}$ to give an easy and elementary proof of many operator inequalities for elementary operators and inner type product integral transformers obtained during last two decades, which also generalizes all of them.
arxiv  

Spectral theory of a class of Block Jacobi matrices and applications [PDF]

open access: yesarXiv, 2015
We develop a spectral analysis of a class of block Jacobi operators based on the conjugate operator method of Mourre. We give several applications including scalar Jacobi operators with periodic coefficients, a class of difference operators on cylindrical domains such as discrete wave propagators, and certain fourth-order difference operators.
arxiv  

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