Results 1 to 10 of about 360 (29)
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
A note on central moments in $C^*$-algebras [PDF]
, 2014 We present sharp estimates of the $k^{\rm th}$ central moments of normal elements in $C^*$-algebras.
Léka, Zoltán
core +2 more sources
State Determination and Sufficiency of Observables [PDF]
, 2013 Informational completeness and the possibility of state distinction and determination are among the more important issues of quantum statistics. We use spectral and semispectral (POV) measures to analyse these questions.
Lubnauer, Katarzyna +1 more
core +2 more sources
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
Leibniz seminorms in probability spaces [PDF]
, 2014 In this paper we study the (strong) Leibniz property of centered moments of bounded random variables. We shall answer a question raised by M.
Besenyei, Adam, Leka, Zoltan
core +2 more sources
, 2010 In the present paper we define the notion of generalized cumulants which gives a universal framework for commutative, free, Boolean, and especially, monotone probability theories.
Hasebe, Takahiro, Saigo, Hayato
core +5 more sources
Radial Bargmann representation for the Fock space of type B [PDF]
, 2016 Let $\nu_{\alpha,q}$ be the probability and orthogonality measure for the $q$-Meixner-Pollaczek orthogonal polynomials, which has appeared in \cite{BEH15} as the distribution of the $(\alpha,q)$-Gaussian process (the Gaussian process of type B) over the $
Asai N. +10 more
core +3 more sources
A note on Boolean stochastic processes [PDF]
, 2014 For the quantum stochastic processes generated by the Boolean Commutation Relations, we prove the following version of De Finetti Theorem: each of such Boolean process is exchangeable if and only if it is independent and identically distributed with ...
Fidaleo, francesco
core +1 more source