A notion of analytic generator for groups of unbounded operators

José E. Galé. "A notion of analytic generator for groups of unbounded operators." Banach Center Publications 67.1 (2005): 185-197. <http://eudml.org/doc/282512>.

@article{JoséE2005,
abstract = {We introduce a notion of analytic generator for groups of unbounded operators, on Banach modules, arising from Esterle’s quasimultiplier theory. Characterizations of analytic generators are given in terms of the existence of certain functional calculi. This extends recent results about C₀ groups of bounded operators. The theory is applicable to sectorial operators, representations of $H^∞$, and integrated groups.},
author = {José E. Galé},
journal = {Banach Center Publications},
keywords = {Banach algebras; multipliers; quasimultipliers; unbounded operators; analytic generator; functional calculus; sectorial operators; integrated groups},
language = {eng},
number = {1},
pages = {185-197},
title = {A notion of analytic generator for groups of unbounded operators},
url = {http://eudml.org/doc/282512},
volume = {67},
year = {2005},
}

TY - JOUR
AU - José E. Galé
TI - A notion of analytic generator for groups of unbounded operators
JO - Banach Center Publications
PY - 2005
VL - 67
IS - 1
SP - 185
EP - 197
AB - We introduce a notion of analytic generator for groups of unbounded operators, on Banach modules, arising from Esterle’s quasimultiplier theory. Characterizations of analytic generators are given in terms of the existence of certain functional calculi. This extends recent results about C₀ groups of bounded operators. The theory is applicable to sectorial operators, representations of $H^∞$, and integrated groups.
LA - eng
KW - Banach algebras; multipliers; quasimultipliers; unbounded operators; analytic generator; functional calculus; sectorial operators; integrated groups
UR - http://eudml.org/doc/282512
ER -