Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We begin a program of generalizing basic elements of the theory of comparison, equivalence, and subequivalence, of elements in C*-algebras, to the setting of more general algebras. In particular, we follow the recent lead of Lin, Ortega, Rørdam, and Thiel of studying these equivalences, etc., in terms of open projections or module isomorphisms. We also define and characterize a new class of inner ideals in operator algebras, and develop a matching theory of open partial isometries in operator ideals which simultaneously generalize the open projections in operator algebras (in the sense of the authors and Hay), and the open partial isometries (tripotents) introduced by the authors.
Słowa kluczowe
Kategorie tematyczne
- 47L30: Abstract operator algebras on Hilbert spaces
- 46H10: Ideals and subalgebras
- 46L07: Operator spaces and completely bounded maps
- 46L08: C * -modules
- 46L85: Noncommutative topology
- 46H30: Functional calculus in topological algebras
- 47L07: Convex sets and cones of operators
- 17C65: Jordan structures on Banach spaces and algebras
- 06F25: Ordered rings, algebras, modules
Czasopismo
Rocznik
Tom
Numer
Strony
117-150
Opis fizyczny
Daty
wydano
2012
Twórcy
autor
- Department of Mathematics, University of Houston, Houston, TX 77204-3008, U.S.A.
autor
- Department of Mathematics, Denison University, Granville, OH 43023, U.S.A.
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm208-2-2