Stetige Elemente bedingt vollständiger l-Algebren

✍ Scribed by J. Synnatzschke

• Book ID: 102941326
• Publisher: John Wiley and Sons
• Year: 1988
• Tongue: English
• Weight: 977 KB
• Volume: 135
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19881350118

✦ Synopsis

In peneralizrrtion of order-rontinnotts operators, order-continuous elenients are introdnced and soiiic related statements proved for DEDEKrXD complete 2-algebrs. cnder certtiin conditions, a elms of Z-algebras cnn be represented ax I-algebras of order-bounded operators leaving the set of all eontiniioiis elements invariant. A s 8 1 1 application, a more algebraic proof is given for the set of all components of an element with the aid of continuous one-dimensional elenients.