On lattice-almost isometric copies of $$c_0(\Gamma )$$ and $$\ell _1(\Gamma )$$ in Banach lattices

2021 ◽  
Author(s):  
Michael A. Rincón-Villamizar ◽  
Andrés Fabián Leal-Archila
Keyword(s):  
Banach Lattices

scholarly journals Continuous functionals for unbounded convergence in Banach lattices

2021 ◽  
Author(s):  
Zhangjun Wang ◽  
Zili Chen ◽  
Jinxi Chen
Keyword(s):  
Banach Lattices ◽  
Continuous Functionals

Reflexivity in Banach lattices

1994 ◽  
Vol 63 (6) ◽  
pp. 549-552 ◽  
Author(s):  
Santiago D�az ◽  
Antonio Fern�ndez
Keyword(s):  
Banach Lattices

scholarly journals Banach spaces with property (w)

1993 ◽  
Vol 35 (2) ◽  
pp. 207-217 ◽  
Author(s):  
Denny H. Leung
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Banach Lattice ◽  
Banach Lattices ◽  
Weakly Compact ◽  
Type Spaces

A Banach space E is said to have Property (w) if every operator from E into E' is weakly compact. This property was introduced by E. and P. Saab in [9]. They observe that for Banach lattices, Property (w) is equivalent to Property (V*), which in turn is equivalent to the Banach lattice having a weakly sequentially complete dual. Thus the following question was raised in [9].Does every Banach space with Property (w) have a weakly sequentially complete dual, or even Property (V*)?In this paper, we give two examples, both of which answer the question in the negative. Both examples are James type spaces considered in [1]. They both possess properties stronger than Property (w). The first example has the property that every operator from the space into the dual is compact. In the second example, both the space and its dual have Property (w). In the last section we establish some partial results concerning the problem (also raised in [9]) of whether (w) passes from a Banach space E to C(K, E).

How do the positive embeddings of C0(K,X) Banach lattices depend on the αth derivatives of K?

2016 ◽  
Vol 290 (10) ◽  
pp. 1544-1552 ◽  
Author(s):  
Elói Medina Galego ◽  
Michael A. Rincón-Villamizar
Keyword(s):  
Banach Lattices ◽  
Derivatives Of

scholarly journals Ergodic Banach lattices

1990 ◽  
Vol 1 (4) ◽  
pp. 483-488
Author(s):  
Frank Räbiger
Keyword(s):  
Banach Lattices

On the duality property for semi-compact operators on Banach lattices

2011 ◽  
Vol 77 (3-4) ◽  
pp. 513-524
Author(s):  
Belmesnaoui Aqzzouz ◽  
Aziz Elbour
Keyword(s):  
Compact Operators ◽  
Banach Lattices ◽  
Duality Property
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