Results 1 to 10 of about 391 (37)

De finetti-type theorems on quasi-local algebras and infinite fermi tensor products [PDF]

open access: yesInfinite Dimensional Analysis Quantum Probability and Related Topics, 2022
Local actions of PN, the group of finite permutations on N, on quasi-local algebras are defined and proved to be PNabelian. It turns out that invariant states under local actions are automatically even, and extreme invariant states are strongly ...
V. Crismale, S. Rossi, Paola Zurlo
semanticscholar   +1 more source

Symmetric states for C*-fermi systems [PDF]

open access: yesReviews in Mathematical Physics, 2022
In the present note, which is the second part of a work concerning the study of the set of the symmetric states, we introduce the extension of the Klein transformation for general Fermi tensor product of two Z graded C-algebras, under the condition that ...
F. Fidaleo
semanticscholar   +1 more source

On the Best Constants in Some Non‐Commutative Martingale Inequalities [PDF]

open access: yes, 2005
The optimal orders are determined for the best constants in the non‐commutative Burkholder–Gundy, Doob and Stein inequalities obtained recently in non‐commutative martingale theory. 2000 Mathematics Subject Classification 46L53, 46L51.
M. Junge, Quanhua Xu
semanticscholar   +1 more source

An equivalent quasinorm for the Lipschitz space of noncommutative martingales

open access: yesOpen 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

The Curvature and Index of Completely Positive Maps [PDF]

open access: yes, 2002
We study conjugacy invariants for completely positive maps that are inspired by the concept of curvature introduced for commuting d‐tuples of contractions by Arveson.
P. Muhly, B. Solel
semanticscholar   +1 more source

Gundy's Decomposition for Non‐Commutative Martingales and Applications [PDF]

open access: yes, 2004
We provide an analogue of Gundy's decomposition for L1‐bounded non‐commutative martingales. An important difference from the classical case is that for any L1‐bounded non‐commutative martingale, the decomposition consists of four martingales.
Javier Parcet, N. Randrianantoanina
semanticscholar   +1 more source

A note on central moments in $C^*$-algebras [PDF]

open access: yes, 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]

open access: yes, 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

open access: yesSpecial 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

open access: yesSpecial 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

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