STRICTLY CYCLIC INCIDENCE OPERATOR-ALGEBRAS

Authors
Citation
J. Froelich, STRICTLY CYCLIC INCIDENCE OPERATOR-ALGEBRAS, Journal of the London Mathematical Society, 49, 1994, pp. 502-516
Citations number
29
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00246107
Volume
49
Year of publication
1994
Part
3
Pages
502 - 516
Database
ISI
SICI code
0024-6107(1994)49:<502:SCIO>2.0.ZU;2-C
Abstract
We introduce Hilbert algebras I(P, w) as analogues of the combinatoria l incidence algebras of Doubilet, Rota and Stanley. This leads to inte resting Banach algebra contexts in which to view certain important com binatorial functions such as the zeta and Mobius functions. The automo rphisms and derivations of these Hilbert algebras are completely descr ibed. The algebras I(P, w) are used to construct a broad new class of reflexive strictly cyclic operator algebras on Hilbert space.