Analytic semigroups on vector valued noncommutative $L^p$-spaces

@article{CédricArhancet2013,
abstract = {We give sufficient conditions on an operator space E and on a semigroup of operators on a von Neumann algebra M to obtain a bounded analytic or R-analytic semigroup ($(T ⊗ Id_\{E\})_\{t≥0\}$ on the vector valued noncommutative $L^\{p\}$-space $L^\{p\}(M,E)$. Moreover, we give applications to the $H^\{∞\}(Σ_\{θ\})$ functional calculus of the generators of these semigroups, generalizing some earlier work of M. Junge, C. Le Merdy and Q. Xu.},
author = {Cédric Arhancet},
journal = {Studia Mathematica},
keywords = {noncommutative -spaces; operator spaces; semigroups; functional calculus; OUMD},
language = {eng},
number = {3},
pages = {271-290},
title = {Analytic semigroups on vector valued noncommutative $L^\{p\}$-spaces},
url = {http://eudml.org/doc/286467},
volume = {216},
year = {2013},
}

TY - JOUR
AU - Cédric Arhancet
TI - Analytic semigroups on vector valued noncommutative $L^{p}$-spaces
JO - Studia Mathematica
PY - 2013
VL - 216
IS - 3
SP - 271
EP - 290
AB - We give sufficient conditions on an operator space E and on a semigroup of operators on a von Neumann algebra M to obtain a bounded analytic or R-analytic semigroup ($(T ⊗ Id_{E})_{t≥0}$ on the vector valued noncommutative $L^{p}$-space $L^{p}(M,E)$. Moreover, we give applications to the $H^{∞}(Σ_{θ})$ functional calculus of the generators of these semigroups, generalizing some earlier work of M. Junge, C. Le Merdy and Q. Xu.
LA - eng
KW - noncommutative -spaces; operator spaces; semigroups; functional calculus; OUMD
UR - http://eudml.org/doc/286467
ER -