Results 11 to 20 of about 884 (163)

Reflexive operator algebras on Banach spaces [PDF]

open access: yesPacific Journal of Mathematics, 2014
In this paper we study the reflexivity of a unital strongly closed algebra of operators with complemented invariant subspace lattice on a Banach space. We prove that if such an algebra contains a complete Boolean algebra of projections of finite uniform multiplicity and with the direct sum property, then it is reflexive, i.e. it contains every operator
Merlevède, Florence   +2 more
openaire   +3 more sources

Applications for Unbounded Convergences in Banach Lattices

open access: yesFractal and Fractional, 2022
Several recent papers investigated unbounded convergences in Banach lattices. The focus of this paper is to apply the results of unbounded convergence to the classical Banach lattice theory from a new perspective.
Zhangjun Wang, Zili Chen
doaj   +1 more source

Perturbation Results on Semi-Fredholm Operators and Applications

open access: yesJournal of Inequalities and Applications, 2009
We give some results concerning stability in the Fredholm operators and Browder operators set, via the concept of measure of noncompactness. Moreover, we prove some localization results on the essential spectra of bounded operators on Banach space.
Boulbeba Abdelmoumen, Hamadi Baklouti
doaj   +2 more sources

Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators

open access: yesCommunications in Advanced Mathematical Sciences, 2018
Various aspects of elementary operators have been characterized by many mathematicians. In this paper, we consider norm-attainability and orthogonality of these operators in Banach spaces.
Bernard Okelo
doaj   +1 more source

Spectral resolutions for non-self-adjoint block convolution operators [PDF]

open access: yesOpuscula Mathematica, 2022
The paper concerns the spectral theory for a class of non-self-adjoint block convolution operators. We mainly discuss the spectral representations of such operators. It is considered the general case of operators defined on Banach spaces.
Ewelina Zalot
doaj   +1 more source

Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions

open access: yesAbstract and Applied Analysis, 2013
We characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk.
Cui Chen, Ren-Yu Chen, Ze-Hua Zhou
doaj   +1 more source

The dual of the space of bounded operators on a Banach space

open access: yesConcrete Operators, 2021
Given Banach spaces X and Y, we ask about the dual space of the 𝒧(X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of
Botelho Fernanda, Fleming Richard J.
doaj   +1 more source

Application of symmetric analytic functions to spectra of linear operators

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
The paper is devoted to extension of the theory of symmetric analytic functions on Banach sequence spaces to the spaces of nuclear and $p$-nuclear operators on the Hilbert space.
I. Burtnyak   +4 more
doaj   +1 more source

m-ISOMETRIC OPERATORS ON BANACH SPACES [PDF]

open access: yesAsian-European Journal of Mathematics, 2010
We introduce the class of m-isometric operators on Banach spaces. This generalizes to Banach space the m-isometric operators on Hilbert space introduced by Agler and Stankus. We establish some basic properties and we introduce the notion of m-invertibility as a natural generalization of the invertibility on Banach spaces.
openaire   +2 more sources

Operadores uniformemente estables y subespacios invariantes

open access: yesRevista Bases de la Ciencia, 2019
Este trabajo estudia operadores uniformemente estables sobre espacios de Banach en general, con el propósito de caracterizar algunos que tengan subespacios invariantes no triviales.
Edixo Rosales
doaj   +1 more source

Home - About - Disclaimer - Privacy