Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Suppose B is a unital algebra which is an algebraic product of full matrix algebras over an index set X. A bijection is set up between the equivalence classes of irreducible representations of B as operators on a Banach space and the σ-complete ultrafilters on X (Theorem 2.6). Therefore, if X has less than measurable cardinality (e.g. accessible), the equivalence classes of the irreducible representations of B are labeled by points of X, and all representations of B are described (Theorem 3.3).
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
145-160
Opis fizyczny
Daty
wydano
2001
Twórcy
autor
- Dipartimento di Matematica, Università di Roma "Tor Vergata", I-00133 Roma, Italy
- Dipartimento di Matematica, Università della Basilicata, Contrada Macchia Romana, I-85100 Potenza, Italy
autor
- Dipartimento di Matematica, Università di Roma "Tor Vergata", I-00133 Roma, Italy
- Faculty of Engineering, Oslo University College, Cort Adelers Gate 30, 0254 Oslo, Norway
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-fm169-2-4