Results 1 to 10 of about 580,219 (274)
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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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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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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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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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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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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The Ideal of σ-Nuclear Operators and Its Associated Tensor Norm
Mathematics, 2020 We introduce a new tensor norm ( σ -tensor norm) and show that it is associated with the ideal of σ -nuclear operators. In this paper, we investigate the ideal of σ -nuclear operators and the σ -tensor norm.
Ju Myung Kim, Keun Young Lee
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The ideal of weakly compactly generated operators acting on a Banach space [PDF]
, 2013 We call a bounded linear operator acting between Banach spaces weakly compactly generated ($\mathsf{WCG}$ for short) if its range is contained in a weakly compactly generated subspace of its codomain.
Kania, Tomasz, Kochanek, Tomasz
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IDEAL OPERATORS AND HIGHER INDESCRIBABILITY
The Journal of Symbolic Logic, 2022 AbstractWe investigate properties of the ineffability and the Ramsey operator, and a common generalization of those that was introduced by the second author, with respect to higher indescribability, as introduced by the first author. This extends earlier investigations on the ineffability operator by James Baumgartner, and on the Ramsey operator by Qi ...
Cody, Brent, Holy, Peter
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The history of a general criterium on spaceability
Open Mathematics, 2017 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.
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