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Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals
(Academic Press Inc Elsevier Science, 2019-07)
We establish a relation between Lipschitz operator ideals and linear operator ideals, which fits in the framework of Galois connection between lattices. We use this relationship to give a criterion which allows us to ...
The Lipschitz injective hull of Lipschitz operator ideals and applications
(Banach Mathematical Research Group, 2020-03)
We introduce and study the Lipschitz injective hull of Lipschitz operator ideals defined between metric spaces. We show some properties and apply the results to the ideal of Lipschitz p-nuclear operators, obtaining the ...
Every Banach ideal of polynomials is compatible with an operator ideal
(Springer Wien, 2012-01)
We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of n-homogeneous polynomials belongs to a ...
O dual de um ideal de operadores e ideais de operadores simétricos entre espaços de BanachThe dual of an operators ideal and symmetric operators ideals on Banach spaces
(Universidade Federal de UberlândiaBRPrograma de Pós-graduação em MatemáticaCiências Exatas e da TerraUFU, 2016)
Bilinear ideals in operator spaces
(Academic Press Inc Elsevier Science, 2015-09)
We introduce a concept of bilinear ideal of jointly completely bounded mappings between operator spaces. In particular, we study the bilinear ideals N of completely nuclear, I of completely integral and E of completely ...
ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE
(Universidad Católica del Norte, Departamento de Matemáticas, 2006)
Ideals of Multilinear Forms - a Limit Order Approach
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 2005-10)
Characterization of unitary operators by elementary operators and unitarily invariant norms
(Element, 2012-01)
In this work we characterize unitary operators via inequalities of elementary operators with unitarily invariant norms.
The Banach ideal of A-compact operators and related approximation properties
(Elsevier, 2013-07-22)
We use the notion of A-compact sets (determined by an operator ideal A), introduced by Carl and Stephani (1984), to show that many known results of certain approximation properties and several ideals of compact operators ...
On the Maximal Operator Ideal Associated with a Tensor Norm Defined by Interpolation Spaces
(CANADIAN MATHEMATICAL SOC, 2010-12-01)
The classical approach to studying operator ideals using tensor norms mainly focuses on those tensor norms and operator ideals defined by means of `p spaces. In a previous paper, an interpolation space, defined via the ...