Results 1 to 10 of about 379 (45)
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
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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
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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.
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Quantum stochastic integrals as operators [PDF]
, 2010 We construct quantum stochastic integrals for the integrator being a martingale in a von Neumann algebra, and the integrand -- a suitable process with values in the same algebra, as densely defined operators affiliated with the algebra.
Andrzej Łuczak +10 more
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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
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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.
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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
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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
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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
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On operator-valued monotone independence [PDF]
, 2014 We investigate operator-valued monotone independence, a noncommutative version of independence for conditional expectation. First we introduce operator-valued monotone cumulants to clarify the whole theory and show the moment-cumulant formula.
Hasebe, Takahiro, Saigo, Hayato
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