Derivations on triangular Banach algebras of order three [PDF]
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]
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]
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]
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]
A Torchinsky+36 more
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Parabolic Extrapolation and Its Applications to Characterizing Parabolic BMO Spaces via Parabolic Fractional Commutators [PDF]
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]
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]
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]
We apply the inequality $\left|\left
arxiv
Spectral theory of a class of Block Jacobi matrices and applications [PDF]
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