Open AccessDuality Property for Positive Weak Dunford-Pettis Operators
Author(s) -
Belmesnaoui Aqzzouz,
Khalid Bouras,
Mohammed Moussa
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/609287
Subject(s) - mathematics , converse , operator (biology) , duality (order theory) , property (philosophy) , pure mathematics , discrete mathematics , biochemistry , chemistry , philosophy , geometry , epistemology , repressor , transcription factor , gene
We prove that an operator is weak Dunford-Pettis if its adjoint is one but the converse is false in general, and we give some necessary and sufficient conditions under which each positive weak Dunford-Pettis operator has an adjoint which is weak Dunford-Pettis
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