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26 April 2024
 
  » arxiv » 1502.0369

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Order almost DUNFORD-PETTIS Operators on Banach lattices
H. Ardakani ; S.M.S. Modarres Mosadegh ;
Date 2 Feb 2015
AbstractBy introducing the concepts of order almost Dunford-Pettis and almost weakly limited operators in Banach lattices, we give some properties of them related to some well known classes of operators, such as, order weakly compact, order Dunford-Pettis, weak and almost Dunford-Pettis and weakly limited operators. Then, we characterize Banach lattices E and F on which each operator from E into F that is order almost Dunford-Pettis and weak almost Dunford-Pettis is an almost weakly limited operator.
Source arXiv, 1502.0369
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