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A New Class of s-type X(u,v;l_p(E)) Operators

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In thisstudy, we introduce the class of s-type X(u,v;l_p(E)) operators, L_(u,v;E). Also we show that this class is a quasi-Banach operator ideal and we study onthe properties of the classes which are produced via different types ofs-numbers.
Pınar Zengin Alp, Merve İlkhan
doaj   +1 more source

Genericity and Universality for Operator Ideals [PDF]

open access: yesQuarterly Journal of Mathematics, 2017
A bounded linear operator $U$ between Banach spaces is universal for the complement of some operator ideal $\mathfrak{J}$ if it is a member of the complement and it factors through every element of the complement of $\mathfrak{J}$. In the first part of
K. Beanland, R. Causey
semanticscholar   +1 more source

When do L-fuzzy ideals of a ring generate a distributive lattice?

open access: yesOpen Mathematics, 2016
The notion of L-fuzzy extended ideals is introduced in a Boolean ring, and their essential properties are investigated. We also build the relation between an L-fuzzy ideal and the class of its L-fuzzy extended ideals.
Gao Ninghua, Li Qingguo, Li Zhaowen
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

Unconditionality in tensor products and ideals of polynomials, multilinear forms and operators [PDF]

open access: yes, 2010
We study tensor norms that destroy unconditionality in the following sense: for every Banach space $E$ with unconditional basis, the $n$-fold tensor product of $E$ (with the corresponding tensor norm) does not have unconditional basis.
Carando, Daniel, Galicer, Daniel
core   +2 more sources

$M$-ideals of compact operators [PDF]

open access: yesIllinois Journal of Mathematics, 1993
A subspace \(E\) of a Banach space \(X\) is called an \(M\)-ideal if the annihilator \(E^ \perp\) of \(E\) in the dual admits a subspace \(F\) such that \(X^*\) is the \(\ell^ 1\)-direct sum of \(E^ \perp\) and \(F\). The investigation of the problem whether for a space \(X\) the space of compact operators \(K(X)\) is an \(M\)-ideal in the bounded ...
openaire   +4 more sources

On Neutrosophic Vague Binary BZMZ^dM Sub-algebra of BZMZ^dM-algebra in Neutrosophic Vague Binary Sets [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
In Model theory, common algebraic structures found are Lattices and Boolean Algebras. In the broad field of research, various algebraic structures can be introduced for a set. BCK, BCI, BCH, BH etc. are some of them.
P. B. Remya, A. Francina Shalini
doaj   +1 more source

Nilpotent elements of operator ideals as single commutators [PDF]

open access: yes, 2017
For an arbitrary operator ideal I, every nilpotent element of I is a single commutator of operators from I^t, for an exponent t that depends on the degree of nilpotency.
K. Dykema, Amudhan Krishnaswamy-Usha
semanticscholar   +1 more source

Rowmotion and generalized toggle groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
We generalize the notion of the toggle group, as defined in [P. Cameron-D. Fon-der-Flaass '95] and further explored in [J. Striker-N. Williams '12], from the set of order ideals of a poset to any family of subsets of a finite set.
Jessica Striker
doaj   +1 more source

Lipschitz integral operators represented by vector measures

open access: yesApplied General Topology, 2021
In this paper we introduce the concept of Lipschitz Pietsch-p-integral mappings, (1≤p≤∞), between a metric space and a Banach space. We represent these mappings by an integral with respect to a vector measure defined on a suitable compact Hausdorff ...
Elhadj Dahia, Khaled Hamidi
doaj   +1 more source

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