Results 1 to 10 of about 2,360,508 (305)
Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers
Journal of Function Spaces, 2020 Let E be a weighted Nakano sequence space or generalized Cesáro sequence space defined by weighted mean and by using s−numbers of operators from a Banach space X into a Banach space Y.
Awad A. Bakery, Afaf R. Abou Elmatty
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Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal
Journal of Mathematics, 2020 In this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
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Journal of Applied Science and Engineering, 2022 Although the systematic emergence of the fuzzy functional analysis theory has started in the last few years, we are starting to construct a new theory of fuzzy operator ideals inspired by the classical (crisp) operator ideals theory.
Laith K. Shaakir +2 more
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Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence
Abstract and Applied Analysis, 2014 The aim of this paper is to give the sufficient conditions on the sequence space Cesθ,p defined in Lim (1977) such that the class of all bounded linear operators between any arbitrary Banach spaces with nth approximation numbers of the bounded linear ...
Awad A. Bakery
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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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The Littlewood-Orlicz Operator Ideal
Rocky Mountain Journal of Mathematics, 2009 A continuous linear operator \(u:X\to Y\) between Banach spaces \(X\) and \(Y\) is called a Littlewood-Orlicz operator if \(\text{id}\otimes u\) maps (continuously) the injective tensor product of \(\ell_1\) with \(X\) into the projective tensor of \(\ell_2\) with \(Y\). The naming of this class of operators is motivated by two classical results due to
Bu, Qingying, Ji, Donghai, Wang, Yuwen
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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
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Some Generalized Versions of Chevet–Saphar Tensor Norms
Mathematics, 2022 The paper is concerned with some generalized versions gE and wE of classical tensor norms. We find a Banach space E for which gE and wE are finitely generated tensor norms, and show that gE and wE are associated with the ideals of some E-nuclear ...
Ju Myung Kim
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The New Class $L_{p,\Phi}$ of $s$-Type Operators
Universal Journal of Mathematics and Applications, 2023 In this study, the class of $s$-type $\ell_{p}( \Phi )$ operators is introduced and it is shown that $L_{p,\Phi}$ is a quasi-Banach operator ideal.
Pınar Zengin Alp
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Monomial Ideals under Ideal Operations [PDF]
Communications in Algebra, 2015 In this paper, we show for a monomial ideal $I$ of $K[x_1,x_2,\ldots,x_n]$ that the integral closure $\ol{I}$ is a monomial ideal of Borel type (Borel-fixed, strongly stable, lexsegment, or universal lexsegment respectively), if $I$ has the same property.
Guo, Jin, Wu, Tongsuo
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