Results 21 to 30 of about 5,387,064 (312)

Trace-Class and Nuclear Operators

open access: yesConcrete Operators, 2022
This paper explores the long journey from projective tensor products of a pair of Banach spaces, passing through the definition of nuclear operators still on the realm of projective tensor products, to the of notion of trace-class operators on a Hilbert ...
Kubrusly Carlos S.
doaj   +1 more source

Tensor products and regularity properties of Cuntz semigroups [PDF]

open access: yes, 2014
The Cuntz semigroup of a C*-algebra is an important invariant in the structure and classification theory of C*-algebras. It captures more information than K-theory but is often more delicate to handle.
Ramon Antoine, F. Perera, Hannes Thiel
semanticscholar   +1 more source

Simplicity of heads and socles of tensor products [PDF]

open access: yesCompositio Mathematica, 2014
We prove that, for simple modules $M$ and $N$ over a quantum affine algebra, their tensor product $M\otimes N$ has a simple head and a simple socle if $M\otimes M$ is simple.
Seok-Jin Kang   +3 more
semanticscholar   +1 more source

Note on Arens regularity of symmetric tensor products

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2014
We investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens regularity of symmetric tensor products of Banach algebras. An example for the Hilbert space is obtained.
O.G. Taras, A.V. Zagorodnyuk
doaj   +1 more source

RTT realization of quantum affine superalgebras and tensor products [PDF]

open access: yes, 2014
We use the RTT realization of the quantum affine superalgebra associated with the Lie superalgebra $\mathfrak{gl}(M,N)$ to study its finite-dimensional representations and their tensor products.
Huafeng Zhang
semanticscholar   +1 more source

Projective tensor products of approximation spaces associated with positive operators

open access: yesResearches in Mathematics
In this paper the projective tensor products of approximation spaces associated with positive operators in Banach spaces are characterized. We show that the tensor products of approximation spaces can be considered as the interpolation spaces generated ...
M.I. Dmytryshyn, L.I. Dmytryshyn
doaj   +1 more source

Tensor products of abstract Besov spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
We prove the interpolation theorem for tensor products of abstract Besov spaces, associated with closed operators in Banach spaces and show its application to the problems of approximations of elements of tensor products of Banach spaces.
M. I. Dmytryshyn
doaj   +1 more source

Canonical bases in tensor products revisited [PDF]

open access: yes, 2014
We construct canonical bases in tensor products of several lowest and highest weight integrable modules, generalizing Lusztig's work.
Huanchen Bao, Weiqiang Wang
semanticscholar   +1 more source

Estimation of Interest Levels From Behavior Features via Tensor Completion Including Adaptive Similar User Selection

open access: yesIEEE Access, 2020
A method for estimating interest levels from behavior features via tensor completion including adaptive similar user selection is presented in this paper.
Keisuke Maeda   +4 more
doaj   +1 more source

On uniqueness of tensor products of irreducible categorifications [PDF]

open access: yesSelecta Mathematica, 2013
In this paper, we propose an axiomatic definition for a tensor product categorification. A tensor product categorification is an abelian category with a categorical action of a Kac–Moody algebra g\documentclass[12pt]{minimal} \usepackage{amsmath ...
I. Losev, Ben Webster
semanticscholar   +1 more source

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