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

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

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.

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

scholarly journals An absolute continuity for positive operators on Banach lattices

1991 ◽  
Vol 14 (1) ◽  
pp. 83-92
Author(s):  
W. Feldman ◽  
C. Piston ◽  
Calvin E. Piston
Keyword(s):  
Banach Lattice ◽  
Absolute Continuity ◽  
Compact Operators ◽  
Positive Operators ◽  
Banach Lattices ◽  
Absolutely Continuous ◽  
Special Cases

For positive operators on a Banach lattice, absolute contnuity conditions are considered. An operator absolutely continuous with respect toTis compared to sums of compositions ofTtogether with orthomorphisms or in special cases projections. Consequences For compact operators on functions spacesC(X)are considered.

Some characterizations of compact operators on Banach lattices

2008 ◽  
Vol 57 (3) ◽  
pp. 423-431 ◽  
Author(s):  
Belmesnaoui Aqzzouz ◽  
Aziz Elbour
Keyword(s):  
Compact Operators ◽  
Banach Lattices
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