Results 1 to 10 of about 175 (30)

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

open access: yesForum 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   +2 more
doaj   +1 more source

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

open access: yesMoroccan 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

open access: yesMoroccan 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

open access: yesMoroccan 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 access: yesOpen 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 access: yesOpen 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

Operator Ideals arising from Generating Sequences [PDF]

open access: yes, 2011
In this note, we will discuss how to relate an operator ideal on Banach spaces to the sequential structures it defines. Concrete examples of ideals of compact, weakly compact, completely continuous, Banach-Saks and weakly Banach-Saks operators will be ...
Wong, Ngai-Ching
core   +1 more source

Second order arithmetic means in operator ideals [PDF]

open access: yes, 2007
Equality of the second order arithmetic means of two principal ideals does not imply equality of their first order arithmetic means (second order equality cancellation).
Kaftal, Victor, Weiss, Gary
core   +1 more source

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

open access: yesOpen 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

open access: yesMoroccan 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

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