LAUSR

Positive Linear Isometries in Symmetric Operator Spaces

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0 Published in 2018 at "Integral Equations and Operator Theory"

DOI: 10.1007/s00020-018-2483-1

Abstract: Let $$(\mathcal {M},\tau )$$(M,τ) and $$(\mathcal {N},\nu )$$(N,ν) be semifinite von Neumann algebras equipped with faithful normal semifinite traces and let $$E(\mathcal {M},\tau )$$E(M,τ) and $$F(\mathcal {N},\nu )$$F(N,ν) be symmetric operator spaces associated with these… read more here.

Keywords: mathcal tau; operator spaces; symmetric operator; linear isometries ... See more keywords

Positive Definite Functions on Coxeter Groups with Applications to Operator Spaces and Noncommutative Probability

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0 Published in 2017 at "Communications in Mathematical Physics"

DOI: 10.1007/s00220-018-3160-6

Abstract: A new class of positive definite functions related to colour-length function on arbitrary Coxeter group is introduced. Extensions of positive definite functions, called the Riesz–Coxeter product, from the Riesz product on the Rademacher (Abelian Coxeter)… read more here.

Keywords: positive definite; definite functions; coxeter; operator spaces ... See more keywords

Twisting operator spaces

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0 Published in 2018 at "Transactions of the American Mathematical Society"

DOI: 10.1090/tran/7461

Abstract: In this work we study the following three space problem for operator spaces: if X is an operator space with base space isomorphic to a Hilbert space and X contains a completely isomorphic copy of… read more here.

Keywords: space; operator spaces; completely isomorphic; twisting operator ... See more keywords

Composition operator on Λ????p(w) spaces

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1 Published in 2017 at "Quaestiones Mathematicae"

DOI: 10.2989/16073606.2017.1329238

Abstract: Abstract In this paper we give an overview of the Λ????p(w) spaces and also characterize the boundedness and compactness of the composition operator on weighted Lorentz spaces. read more here.

Keywords: operator spaces; composition; composition operator;

A note on the column-row property

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1 Published in 2022 at "Canadian Mathematical Bulletin"

DOI: 10.4153/s0008439523000322

Abstract: In this article, we study the following question asked by Michael Hartz in a recent paper \cite{Hartz}: \textit{which operator spaces satisfy the column-row property?} We provide a complete classification of the column-row property for non-commutative… read more here.

Keywords: row property; column row; operator spaces;