A notion of analytic generator for groups of unbounded operators
José E. Galé
Banach Center Publications, Tome 68 (2005), p. 185-197 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:282512
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     author = {Jos\'e E.  Gal\'e},
     title = {A notion of analytic generator for groups of unbounded operators},
     journal = {Banach Center Publications},
     volume = {68},
     year = {2005},
     pages = {185-197},
     zbl = {1090.47023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-15}
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José E.  Galé. A notion of analytic generator for groups of unbounded operators. Banach Center Publications, Tome 68 (2005) pp. 185-197. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-15/