Some characterizations of surjective operators on banach lattices

The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach lattices. In particular, we characterize Banach l...

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Bibliographic Details
Published in:Journal of Hyperstructures
Main Authors: Akbar Bahramnezhad, Kazem Haghnejad Azar
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2018-12-01
Subjects:
banach lattice
semi-compact operator
dunford-pettis operator
l- and mweakly compact operator
Online Access:https://jhs.uma.ac.ir/article_2699_18d2453638310dbd892e364d41cdffcb.pdf
Description
Summary:The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach lattices. In particular, we characterize Banach lattices on which operators must be surjective.
ISSN:2251-8436
2322-1666

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