𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Banach Lattices of Bounded Operators

✍ Scribed by H.-U. Schwarz

Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
334 KB
Volume
90
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Banach Lattices of Bounded Operators By H.-U. SCHWARZ (Jena) (Eingegangen am 1.3.1977) There are given two equivalent methods to construct BANACE lattices of compact operators. All known examples of such lattices are included.

πŸ“œ SIMILAR VOLUMES

Banach Lattices of Continuous Banach Lat
Banach Lattices of Continuous Banach Lattice-Valued Functions
✍ Z. Ercan; A.W. Wickstead πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 188 KB

This paper studies the Banach lattice structure of some spaces of continuous functions taking values in a Banach lattice. We determine when they satisfy various kinds of order theoretic completeness conditions and what properties the norm in such a Banach lattice may possess and describe their centr

On finite elements in sublattices of Ban
On finite elements in sublattices of Banach lattices
✍ Z. L. Chen; M. R. Weber πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 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 Ξ¦~1~(__E__) and Ξ¦~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

Differential Banach *-Algebras of Compac
Differential Banach *-Algebras of Compact Operators Associated with Symmetric Operators
✍ Edward Kissin; Victor S Shulman πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 455 KB

Extensive development of noncommutative geometry requires elaboration of the theory of differential Banach \*-algebras, that is, dense \*-subalgebras of C\*-algebras whose properties are analogous to the properties of algebras of differentiable functions. We consider a specific class of such algebra

Unconditionally Convergent Series of Ope
Unconditionally Convergent Series of Operators on Banach Spaces
✍ Qingying Bu; Congxin Wu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 180 KB

We show that any series Ý K of operators in L X, Y that is unconditionally n n convergent in the weak operator topology and satisfies the condition that Ý K n g F n is a compact operator for every index set F : β€«ήŽβ€¬ is unconditionally convergent in the uniform operator topology if and only if X \*, t