Quotient spaces of Banach lattices and Marcinkiewicz spaces

1984 ◽  
Vol 25 (2) ◽  
pp. 332-338 ◽  
Author(s):  
E. V. Tokarev
Keyword(s):  
Banach Lattices ◽  
Quotient Spaces ◽  
Marcinkiewicz Spaces

Quotient spaces of Marcinkiewicz spaces

1978 ◽  
Vol 19 (3) ◽  
pp. 498-500 ◽  
Author(s):  
E. V. Tokarev
Keyword(s):  
Quotient Spaces ◽  
Marcinkiewicz Spaces

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 Banach–Saks property in Marcinkiewicz spaces

2007 ◽  
Vol 336 (2) ◽  
pp. 1231-1258 ◽  
Author(s):  
S.V. Astashkin ◽  
F.A. Sukochev
Keyword(s):  
Marcinkiewicz Spaces
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