๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On finite and totally finite elements in vector lattices

โœ Scribed by M. R. Weber

Book ID
112651132
Publisher
Springer
Year
1995
Tongue
English
Weight
343 KB
Volume
21
Category
Article
ISSN
0133-3852

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On finite elements in vector lattices an
On finite elements in vector lattices and Banach lattices
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

On finite elements in sublattices of Ban
On finite elements in sublattices of Banach lattices
โœ Z. L. Chen; M. R. Weber ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 162 KB

## 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

Finite distributive lattices and doubly
Finite distributive lattices and doubly irreducible elements
โœ Joel Berman; Gabriela Bordalo ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 350 KB

For a finite ordered set G let ~(G) denote the family of all distributive lattices L such that G both generates L and is the set of doubly irreducible elements of L. We provide a characterization for membership in ~(G), and by means of this characterization define a natural order relation on ~(G). W