Results 1 to 10 of about 2,185,505 (314)
Small operator ideals formed by s numbers on generalized Cesáro and Orlicz sequence spaces [PDF]
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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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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Bilinear Ideals in Operator Spaces [PDF]
Journal of Mathematical Analysis and Applications, 2015 We introduce a concept of bilinear ideal of jointly completely bounded mappings between operator spaces. In particular, we study the bilinear ideals $\mathcal{N}$ of completely nuclear, $\mathcal{I }$ of completely integral, $\mathcal{E}$ of completely ...
Dimant, Verónica +1 more
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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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Approximation properties of tensor norms and operator ideals for Banach spaces
Open 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
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Operator ideals in Tate objects [PDF]
, 2015 Tate's central extension originates from 1968 and has since found many applications to curves. In the 80s Beilinson found an n-dimensional generalization: cubically decomposed algebras, based on ideals of bounded and discrete operators in ind-pro limits ...
Braunling, Oliver +2 more
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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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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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Representing the Banach operator ideal of completely continuous operators; pp. 189–193 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 Let V ;Wâ and W be the operator ideals of completely continuous, weakly â-compact, and weakly compact operators, respectively. In a recent paper, William B. Johnson, Eve Oja, and the author proved that V = Wâ â¦W -1 (Johnson, W. B., Lillemets, R.,
Rauni Lillemets
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Operator Ideals and Operator Spaces [PDF]
Proceedings of the American Mathematical Society, 1995 We prove that every full symmetrically normed ideal of operators on a Hilbert space is realizable as the set of completely bounded maps between two homogeneous operator Hilbert spaces, with the c.b. norm equivalent to (but in general not equal to) the symmetric norm. We show that one can have equality of the c.b.
Mathes, D. Benjamin, Paulsen, Vern I.
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