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On Finite Elements in Lattices of Regular Operators

โœ Scribed by Zi Li Chen; Martin R. Weber

Publisher
Springer
Year
2007
Tongue
English
Weight
204 KB
Volume
11
Category
Article
ISSN
1385-1292

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๐Ÿ“œ SIMILAR VOLUMES

On finite elements in vector lattices an
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โœ Z. L. Chen; M. R. Weber ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 124 KB

## Abstract In Archimedean vector lattices we show that each element of the band generated by a finite element is also finite. In vector lattices with the (PPP) and in Banach lattices we obtain some characterizations of finite elements by using the generalized order units for principal bands. In th

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## Abstract Let __E__ be a Banach lattice. Let __H__ stand for a sublattice, an ideal or a band in __E__, and denote by ฮฆ~1~(__E__) and ฮฆ~1~(__H__) the ideals of finite elements in the vector lattices __E__ and __H__, respectively. In this paper we first present some sufficient conditions and some