Conditions equivalent to C* independence

Shuilin Jin, et al. "Conditions equivalent to C* independence." Studia Mathematica 211.3 (2012): 191-197. <http://eudml.org/doc/285665>.

@article{ShuilinJin2012,
abstract = {Let and be mutually commuting unital C* subalgebras of (). It is shown that and are C* independent if and only if for all natural numbers n, m, for all n-tuples A = (A₁, ..., Aₙ) of doubly commuting nonzero operators of and m-tuples B = (B₁, ..., Bₘ) of doubly commuting nonzero operators of , $Sp(A, B) = Sp(A) × Sp(B)$, where Sp denotes the joint Taylor spectrum.},
author = {Shuilin Jin, Li Xu, Qinghua Jiang, Li Li},
journal = {Studia Mathematica},
keywords = {joint Taylor spectrum; independence},
language = {eng},
number = {3},
pages = {191-197},
title = {Conditions equivalent to C* independence},
url = {http://eudml.org/doc/285665},
volume = {211},
year = {2012},
}

TY - JOUR
AU - Shuilin Jin
AU - Li Xu
AU - Qinghua Jiang
AU - Li Li
TI - Conditions equivalent to C* independence
JO - Studia Mathematica
PY - 2012
VL - 211
IS - 3
SP - 191
EP - 197
AB - Let and be mutually commuting unital C* subalgebras of (). It is shown that and are C* independent if and only if for all natural numbers n, m, for all n-tuples A = (A₁, ..., Aₙ) of doubly commuting nonzero operators of and m-tuples B = (B₁, ..., Bₘ) of doubly commuting nonzero operators of , $Sp(A, B) = Sp(A) × Sp(B)$, where Sp denotes the joint Taylor spectrum.
LA - eng
KW - joint Taylor spectrum; independence
UR - http://eudml.org/doc/285665
ER -