Results 1 to 10 of about 26 (26)

An equivalent quasinorm for the Lipschitz space of noncommutative martingales

Open Mathematics, 2020
In this paper, an equivalent quasinorm for the Lipschitz space of noncommutative martingales is presented. As an application, we obtain the duality theorem between the noncommutative martingale Hardy space hpc(ℳ){h}_{p}^{c}( {\mathcal M} ) (resp.
Ma Congbian, Ren Yanbo
doaj   +1 more source

Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs

Special Matrices, 2015
In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the
Cho Ilwoo, Jorgensen Palle E. T.
doaj   +1 more source

Matrices induced by arithmetic functions acting on certain Krein spaces

Special Matrices, 2017
In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
Cho Ilwoo
doaj   +1 more source

Krein-space operators determined by free product algebras induced by primes and graphs

Special Matrices, 2017
In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
doaj   +1 more source

A variance bound for a general function of independent noncommutative random variables

, 2019
The main purpose of this paper is to establish a noncommutative analogue of the Efron-Stein inequality, which bounds the variance of a general function of some independent random variables. Moreover, we state an operator version including random matrices,
Talebi, Ali, Moslehian, Mohammad Sal
core  

Spreadability for Quantum Stochastic Processes, with an Application to Boolean Commutation Relations. [PDF]

Entropy (Basel), 2020
Crismale V, Fidaleo F, Griseta ME.
europepmc   +1 more source

Non-commutative L p spaces and Grassmann stochastic analysis. [PDF]

Probab Theory Relat Fields
De Vecchi F, Fresta L, Gordina M, Gubinelli M.   +3 more
europepmc   +1 more source

The ergodic theorem for random walks on finite quantum groups

Communications in Algebra, 2021
J P Mccarthy
exaly  

Freeness over the diagonal for large random matrices

Annals of Probability, 2021
Antoine Dahlqvist, Benson Au, Camille Male   +2 more
exaly  

Rosenthal's theorem for subspaces of noncommutative Lp

Duke Mathematical Journal, 2008
Javier Parcet, Marius Junge
exaly