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

Belmesnaoui Aqzzouz; Aziz Elbour

doi:10.1007/bf03643932

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

Acta Scientiarum Mathematicarum ◽

10.1007/bf03643932 ◽

2011 ◽

Vol 77 (3-4) ◽

pp. 513-524

Author(s):

Belmesnaoui Aqzzouz ◽

Aziz Elbour

Keyword(s):

Compact Operators ◽

Banach Lattices ◽

Duality Property

Download Full-text

Compact operators in Banach lattices

Israel Journal of Mathematics ◽

10.1007/bf02760610 ◽

1979 ◽

Vol 34 (4) ◽

pp. 287-320 ◽

Cited By ~ 110

Author(s):

P. G. Dodds ◽

D. H. Fremlin

Keyword(s):

Compact Operators ◽

Banach Lattices

Download Full-text

ON $b$-WEAKLY COMPACT OPERATORS ON BANACH LATTICES

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500404641 ◽

2007 ◽

Vol 11 (1) ◽

pp. 143-150 ◽

Cited By ~ 7

Author(s):

Birol Altin

Keyword(s):

Compact Operators ◽

Banach Lattices ◽

Weakly Compact ◽

Weakly Compact Operators

Download Full-text

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

Canadian Mathematical Bulletin ◽

10.4153/cmb-2008-002-0 ◽

2008 ◽

Vol 51 (1) ◽

pp. 15-20 ◽

Cited By ~ 7

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.

Download Full-text

On weakly compact operators on Banach lattices

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1981-0627695-x ◽

1981 ◽

Vol 83 (3) ◽

pp. 573-573 ◽

Cited By ~ 16

Author(s):

C. D. Aliprantis ◽

O. Burkinshaw

Keyword(s):

Compact Operators ◽

Banach Lattices ◽

Weakly Compact ◽

Weakly Compact Operators

Download Full-text

THE SCHUR PROPERTY OF BANACH LATTICES AND THE COMPACTNESS OF WEAKLY COMPACT OPERATORS

Mathematical Proceedings of the Royal Irish Academy ◽

10.1353/mpr.2010.0006 ◽

2010 ◽

Vol 110A (1) ◽

pp. 1-11

Author(s):

B. Aqzzouz ◽

A. Elbour

Keyword(s):

Compact Operators ◽

Banach Lattices ◽

Weakly Compact ◽

Schur Property ◽

Weakly Compact Operators

Download Full-text

Lebesgue-type convergence theorems in Banach lattices with applications to compact operators

Indagationes Mathematicae (Proceedings) ◽

10.1016/s1385-7258(79)80034-7 ◽

1979 ◽

Vol 82 (1) ◽

pp. 425-437 ◽

Cited By ~ 1

Author(s):

P. van Eldik ◽

J.J. Grobler

Keyword(s):

Compact Operators ◽

Banach Lattices ◽

Convergence Theorems

Download Full-text

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

Mathematical Notes ◽

10.1134/s0001434613030139 ◽

2013 ◽

Vol 93 (3-4) ◽

pp. 465-469 ◽

Cited By ~ 2

Author(s):

Na Cheng ◽

Zi-Li Chen ◽

Guang-Gui Chen

Keyword(s):

Compact Operators ◽

Banach Lattices

Download Full-text

An absolute continuity for positive operators on Banach lattices

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s016117129100008x ◽

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.

Download Full-text