Results 81 to 90 of about 17,687 (188)

The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces

Journal of Functional Analysis, 2004
There are very few Banach spaces \(E\) for which the lattice of closed ideals in the Banach algebra \(B(E)\) of all continuous linear operators on \(E\) is fully understood (up to the paper under review, the only such spaces were Hilbert spaces and the sequence spaces \(c_0\) and \(\ell_p\) with \(1\leq p< \infty\)).
Laustsen, Niels Jakob, Loy, Richard J., Read, Charles J.   +2 more
openaire   +3 more sources

Remarks on the classical Banach operator ideals [PDF]

Proceedings of the American Mathematical Society, 1976
Diestel, J., Faires, B.
openaire   +2 more sources

Spectral characterization of sums of commutators I

, 1997
Suppose $\Cal J$ is a two-sided quasi-Banach ideal of compact operators on a separable infinite-dimensional Hilbert space $\Cal H$. We show that an operator $T\in\Cal J$ can be expressed as finite linear combination of commutators $[A,B]$ where $A\in\Cal
Kalton, Nigel J.
core   +2 more sources

Improjective operators and ideals in a category of Banach spaces [PDF]

Journal of the Australian Mathematical Society, 1972
Kato [3] has introduced a class of operators called strictly singular operators. These operators have many properties in common with compact operators. In fact the concept of a strictly singular operator is an extension of the concept of a compact operator.
openaire   +2 more sources

Building Ideals of Two-Lipschitz Operators Between Metric and Banach Spaces

Mediterranean Journal of Mathematics
In this paper, we present and characterize the injective hull of a two-Lipschitz operator ideals and the definition of two-Lipschitz dual operator ideal. Also we introduce two methods for creating ideals of two-Lipschitz operators from a pair of Lipschitz operator ideals. Namely, Lipschitzization and factorization method.
Achour, Dahmane, Dahia, Elhadj
openaire   +3 more sources

On the ideal-triangularizability of positive operators on Banach lattices [PDF]

Proceedings of the American Mathematical Society, 1997
Summary: There are some known results that guarantee the existence of a nontrivial closed invariant ideal for a quasinilpotent positive operator on an \(AM\)-space with unit or a Banach lattice whose positive cone contains an extreme ray. Some recent results also guarantee the existence of such ideals for certain positive operators, e.g.
openaire   +2 more sources

Constructing hyper-ideals of multilinear operators between Banach spaces

, 2015
In view of the fact that some classical methods to construct multi-ideals fail in constructing hyper-ideals, in this paper we develop two new methods to construct hyper-ideals of multilinear operators between Banach spaces. These methods generate new classes of multilinear operators and show that some important well studied classes are Banach or p ...
Botelho, Geraldo, Torres, Ewerton R.
openaire   +2 more sources

p-adic vertex operator algebras. [PDF]

Res Number Theory, 2023
Franc C, Mason G.
europepmc   +1 more source

Supercyclicity of the left and right multiplication operators on Banach ideal of operators

, 2019
Let $X$ be a Banach space with $\dim X>1$ such that $X^{\ast}$, its dual, is separable and $\mathcal{B}(X)$ the algebra of bounded linear operators on $X$. In this paper, we study the passage of property of being supercyclic from an operator $T\in\mathcal{B}(X)$ to the left and right multiplication induced by $T$ on separable admissible Banach ideal
Amouch, Mohamed, Lakrimi, Hamza
openaire   +2 more sources

An Identity Related to Derivations of Standard Operator Algebras and Semisimple H*-Algebra¹

Cubo, 2010
In this paper we prove the following result. Let X be a real or complex Banach space, let L (X) be the algebra of all bounded linear operators on X, and let be a standard operator algebra. Suppose is a linear mapping satisfying the relation .
Irena Kosi-Ulbl, Joso Vukman
doaj