Results 1 to 10 of about 11 (11)

Banach spaces for which the space of operators has 2𝔠 closed ideals

Forum of Mathematics, Sigma, 2021
We formulate general conditions which imply that ${\mathcal L}(X,Y)$, the space of operators from a Banach space X to a Banach space Y, has $2^{{\mathfrak {c}}}$ closed ideals, where ${\mathfrak {c}}$ is the cardinality of the continuum.
Daniel Freeman, Thomas Schlumprecht, András Zsák   +2 more
doaj   +1 more source

The ideal of Lipschitz classical p-compact operators and its injective hull

Moroccan Journal of Pure and Applied Analysis, 2022
We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space.
Tiaiba Toufik, Achour Dahmane
doaj   +1 more source

Further results on strictly Lipschitz summing operators

Moroccan Journal of Pure and Applied Analysis, 2022
The aim of this paper is to give some new characterizations of strictly Lipschitz p-summing operators. These operators have been introduced in order to improve the Lipschitz p-summing operators.
Belaala Maatougui, Saadi Khalil
doaj   +1 more source

Some results about Lipschitz p-Nuclear Operators

Moroccan Journal of Pure and Applied Analysis, 2021
The aim of this paper is to study the onto isometries of the space of strongly Lipschitz p-nuclear operators, introduced by D. Chen and B. Zheng (Nonlinear Anal.,75, 2012).
Bey Khedidja, Belacel Amar
doaj   +1 more source

Approximation properties of tensor norms and operator ideals for Banach spaces

Open Mathematics, 2020
For a finitely generated tensor norm α\alpha , we investigate the α\alpha -approximation property (α\alpha -AP) and the bounded α\alpha -approximation property (bounded α\alpha -AP) in terms of some approximation properties of operator ideals.
Kim Ju Myung
doaj   +1 more source

The history of a general criterium on spaceability

Open Mathematics, 2017
There are just a few general criteria on spaceability. This survey paper is the history of one of the first ones. Let I1 and I2 be arbitrary operator ideals and E and F be Banach spaces.
Sánchez Víctor M.
doaj   +1 more source

Some properties of pre-quasi operator ideal of type generalized Cesáro sequence space defined by weighted means

Open Mathematics, 2019
Let E be a generalized Cesáro sequence space defined by weighted means and by using s-numbers of operators from a Banach space X into a Banach space Y.
Bakery Awad A., Mohammed Mustafa M.
doaj   +1 more source

Lipschitz (q, p, E)-summing operators on injective Lipschitz tensor products of spaces

Moroccan Journal of Pure and Applied Analysis, 2020
In this paper, we introduce the notion of (q, p)-mixing operators from the injective tensor product space E ̂⊗∈F into a Banach space G which we call (q, p, F)-mixing.
Tallab Abdelhamid
doaj   +1 more source

NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS

Forum of Mathematics, Sigma, 2017
We consider the spectral behavior and noncommutative geometry of commutators $[P,f]$ , where ...
HEIKO GIMPERLEIN, MAGNUS GOFFENG
doaj   +1 more source

(p, q)-Compactness in spaces of holomorphic mappings

Open Mathematics
Based on the concept of (p,q)\left(p,q)-compact operator for p∈[1,∞]p\in \left[1,\infty ] and q∈[1,p*]q\in \left[1,{p}^{* }], we introduce and study the notion of (p,q)\left(p,q)-compact holomorphic mapping between Banach spaces.
Jiménez-Vargas Antonio, Ruiz-Casternado David   +1 more
doaj   +1 more source