Results 21 to 30 of about 580,219 (274)
$M$-ideals of compact operators [PDF]
Illinois 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 ...
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The gE-Approximation Property Determined by the Banach Space E = ℓq(ℓp)
MathematicsWe study the gE-approximation property for the Banach space E=ℓq(ℓp), which is an extension of Saphar’s p-approximation property. We establish some characterizations of the gE-approximation property using the space of E-summing operators, which is an ...
Ju Myung Kim
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Calculation of particular solutions of nonhomogeneous linear equations with two linear operators, of which at least one is almost algebraic, in the case of simple roots of the characteristic equation [PDF]
Компьютерные исследования и моделирование, 2016 The concept of an operator is an almost algebraic with respect to two-sided ideal of the algebra of linear operators in some finite-dimensional linear spaces, it extended to the case when the ideal is left.
Vladimir G. Tsirulik
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On Narrow Operators from $$L_p$$ into Operator Ideals
Mediterranean Journal of Mathematics, 2022 AbstractIt is well known that every $$l_2$$ l 2 -strictly singular operator from $$L_p$$ L p , $$1<p<\infty $$ 1
Jinghao Huang +2 more
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Small operator ideals formed by s numbers on generalized Cesáro and Orlicz sequence spaces
Journal of Inequalities and Applications, 2018 In this article, we establish sufficient conditions on the generalized Cesáro and Orlicz sequence spaces E $\mathbb{E}$ such that the class SE $S_{\mathbb{E}}$ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers
Nashat Faried, Awad A. Bakery
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Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces
Journal of Function Spaces, 2019 In this paper, we give the sufficient conditions on Orlicz-Cesáro mean sequence spaces cesφ, where φ is an Orlicz function such that the class Scesφ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers which ...
Awad A. Bakery, Mustafa M. Mohammed
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Mathematics, 2019 This article is devoted to the investigation of dual and annihilator normed algebras. Their structure is studied in the paper. Extensions of algebras and fields are considered and by using them, core radicals and radicals are investigated.
Sergey V. Ludkowski
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On tensor stable operator ideals.
Michigan Mathematical Journal, 1989 An operator ideal \({\mathfrak A}\) is tensor stable with respect to a tensor norm \(\alpha\), provided that for all operators S,T belonging to \({\mathfrak A}\) also \(S{\tilde \oplus}_{\alpha}T\) belongs to \({\mathfrak A}\). The authors show that any non-proper Banach-operator ideal with \(\sup_{n}A(id_{\ell^ n_{\infty}})=\infty\), A being the ideal
Carl, B., Defant, A., Ramanujan, M. S.
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Polynomials in operator space theory: matrix ordering and algebraic aspects
, 2017 We extend the $\lambda$-theory of operator spaces given by Defant and Wiesner (2014), that generalizes the notion of the projective, Haagerup and Schur tensor norm for operator spaces to matrix ordered spaces and Banach $*$-algebras. Given matrix regular
Kumar, Ajay +2 more
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The ασ-Approximation Property and Its Related Operator Ideals
MathematicsIn this paper, we study the σ-tensor norm (ασ), the absolutely τ-summing operator and the σ-nuclear operator. We characterize the ασ-approximation property in terms of some density of the space of absolutely τ-summing operators.
Ju Myung Kim
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