Title of article
Infinite divisibility and a non-commutative Boolean-to-free Bercovici–Pata bijection
Author/Authors
S.T. Belinschi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
30
From page
94
To page
123
Abstract
We use the theory of fully matricial, or non-commutative, functions to investigate infinite divisibility
and limit theorems in operator-valued non-commutative probability. Our main result is an operator-valued
analogue for the Bercovici–Pata bijection. An important tool is Voiculescu’s subordination property for
operator-valued free convolution.
Crown Copyright © 2011 Published by Elsevier Inc. All rights reserved.
Keywords
Operator-valued free probability , Non-commutative functions , Bercovici–Pata bijection , limit theorems
Journal title
Journal of Functional Analysis
Serial Year
2012
Journal title
Journal of Functional Analysis
Record number
840607
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