A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case

Mihai Popa

Colloquium Mathematicae (2009)

  • Volume: 117, Issue: 1, page 81-93
  • ISSN: 0010-1354

Abstract

top
The paper presents several combinatorial properties of the boolean cumulants. A consequence is a new proof of the multiplicative property of the boolean cumulant series that can be easily adapted to the case of boolean independence with amalgamation over an algebra.

How to cite

top

Mihai Popa. "A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case." Colloquium Mathematicae 117.1 (2009): 81-93. <http://eudml.org/doc/283485>.

@article{MihaiPopa2009,
abstract = {The paper presents several combinatorial properties of the boolean cumulants. A consequence is a new proof of the multiplicative property of the boolean cumulant series that can be easily adapted to the case of boolean independence with amalgamation over an algebra.},
author = {Mihai Popa},
journal = {Colloquium Mathematicae},
keywords = {Boolean cumulants; Boolean independence},
language = {eng},
number = {1},
pages = {81-93},
title = {A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case},
url = {http://eudml.org/doc/283485},
volume = {117},
year = {2009},
}

TY - JOUR
AU - Mihai Popa
TI - A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case
JO - Colloquium Mathematicae
PY - 2009
VL - 117
IS - 1
SP - 81
EP - 93
AB - The paper presents several combinatorial properties of the boolean cumulants. A consequence is a new proof of the multiplicative property of the boolean cumulant series that can be easily adapted to the case of boolean independence with amalgamation over an algebra.
LA - eng
KW - Boolean cumulants; Boolean independence
UR - http://eudml.org/doc/283485
ER -

NotesEmbed ?

top

You must be logged in to post comments.