Results 1 to 10 of about 178 (30)
Banach spaces for which the space of operators has 2𝔠 closed ideals
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
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
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
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
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
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
Second order arithmetic means in operator ideals [PDF]
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
Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support [PDF]
Let $\lambda$ be an infinite cardinal number and let $\ell_\infty^c(\lambda)$ denote the subspace of $\ell_\infty(\lambda)$ consisting of all functions that assume at most countably many non-zero values.
Johnson, William B. +2 more
core +1 more source
Lipschitz (q, p, E)-summing operators on injective Lipschitz tensor products of spaces
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
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.
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