Results 11 to 20 of about 2,360,508 (305)

Operator Ideals and Operator Spaces [PDF]

open access: yesProceedings 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.
openaire   +1 more source

Ideal Bose gas and blackbody radiation in the Dunkl formalism [PDF]

open access: yesJournal of Statistical Mechanics: Theory and Experiment, 2023
Recently, deformed quantum systems have received lots of attention in the literature. Dunkl formalism differs from others by containing the difference-differential and reflection operator.
F. Merabtine   +4 more
semanticscholar   +1 more source

Vortexability: A unifying criterion for ideal fractional Chern insulators [PDF]

open access: yesPhysical review B, 2022
Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is known to host the FQHE, but not all Chern bands are suitable for realizing ...
P. Ledwith, A. Vishwanath, D. Parker
semanticscholar   +1 more source

BelNet: basis enhanced learning, a mesh-free neural operator [PDF]

open access: yesProceedings of the Royal Society A, 2022
Operator learning trains a neural network to map functions to functions. An ideal operator learning framework should be mesh-free in the sense that the training does not require a particular choice of discretization for the input functions, allows for ...
Zecheng Zhang   +2 more
semanticscholar   +1 more source

Weaker relatives of the bounded approximation property for a Banach operator ideal [PDF]

open access: yesJournal of Approximation Theory, 2014
Fixed a Banach operator ideal A , we introduce and investigate two new approximation properties, which are strictly weaker than the bounded approximation property (BAP) for A of Lima et?al. (2010). We call them the weak BAP for A and the local BAP for A ,
S. Lassalle, E. Oja, Pablo Turco
semanticscholar   +1 more source

The Ideal of σ-Nuclear Operators and Its Associated Tensor Norm

open access: yesMathematics, 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
doaj   +1 more source

Norm of matrix operator on Orlicz-binomial spaces and related operator ideal

open access: yes, 2020
The purpose of this article is to introduce Orlicz extension of binomial sequence spaces br,s φ and investigate some topological and inclusion properties of the new spaces.
Taja Yaying, B. Hazarika, M. Mursaleen
semanticscholar   +1 more source

IDEAL OPERATORS AND HIGHER INDESCRIBABILITY

open access: yesThe 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
openaire   +3 more sources

The history of a general criterium on spaceability

open access: yesOpen 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.
doaj   +1 more source

A note on Nakano generalized difference sequence space

open access: yesAdvances in Difference Equations, 2020
In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate an operator ideal.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

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