The Duality Problem for the Class of AM-Compact Operators on Banach Lattices

2008 ◽  
Vol 51 (1) ◽  
pp. 15-20 ◽  
Author(s):  
Belmesnaoui Aqzzouz ◽  
Redouane Nouira ◽  
Larbi Zraoula
Keyword(s):  
Compact Operators ◽  
Banach Lattices ◽  
Duality Problem

AbstractWe prove the converse of a theorem of Zaanen about the duality problem of positive AM-compact operators.

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

Compact operators in Banach lattices

1979 ◽  
Vol 34 (4) ◽  
pp. 287-320 ◽  
Author(s):  
P. G. Dodds ◽  
D. H. Fremlin
Keyword(s):  
Compact Operators ◽  
Banach Lattices

The duality problem for the Class of b-weakly compact operators

Positivity ◽  
2009 ◽  
Vol 13 (4) ◽  
pp. 683-692 ◽  
Author(s):  
Belmesnaoui Aqzzouz ◽  
Aziz Elbour ◽  
Jawad Hmichane
Keyword(s):  
Compact Operators ◽  
Weakly Compact ◽  
Weakly Compact Operators ◽  
Duality Problem

scholarly journals THE DUALITY PROBLEM FOR THE CLASS OF ORDER WEAKLY COMPACT OPERATORS

2009 ◽  
Vol 51 (1) ◽  
pp. 101-108 ◽  
Author(s):  
BELMESNAOUI AQZZOUZ ◽  
JAWAD HMICHANE
Keyword(s):  
Necessary Conditions ◽  
Compact Operators ◽  
Weak Compactness ◽  
Weakly Compact ◽  
Weakly Compact Operators ◽  
Sufficient And Necessary Conditions ◽  
Duality Problem

AbstractWe study the duality problem for order weakly compact operators by giving sufficient and necessary conditions under which the order weak compactness of an operator implies the order weak compactness of its adjoint and conversely.

Duality properties for b-AM-compact operators on Banach lattices

2013 ◽  
Vol 93 (3-4) ◽  
pp. 465-469 ◽  
Author(s):  
Na Cheng ◽  
Zi-Li Chen ◽  
Guang-Gui Chen
Keyword(s):  
Compact Operators ◽  
Banach Lattices
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