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Paper Information

Journal:   JOURNAL OF MATHEMATICAL EXTENSION   2018 , Volume 12 , Number 3; Page(s) 147 To 163.
 
Paper: 

L-limited and Almost L-limited Sets in Dual Banach Lattices

 
 
Author(s):  ARDAKANI H.*, MODARRES MOSADEGH S.M.S., SALIMI M., MOSHTAGHIOUN S.M.
 
* Department of Mathematics Yazd University Yazd, Iran/ Department of Mathematics Payame Noor University Yazd, Iran
 
Abstract: 
Following the concept of L-limited sets in dual Banach spaces introduced by Salimi and Moshtaghioun, we introduce the con-cept of almost L-limited sets in dual Banach lattices and then by a class of disjoint limited completely continuous operators on Banach lattices, we characterize Banach lattices in which almost L-limited subsets of their dual, coincide with L{limited sets.
 
Keyword(s): L-limited set,limited completely continuous operator,Gelfand{Phillips property
 
 
References: 
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Citations: 
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+ Click to Cite.
APA: Copy

ARDAKANI, H., & MODARRES MOSADEGH, S., & SALIMI, M., & MOSHTAGHIOUN, S. (2018). L-limited and Almost L-limited Sets in Dual Banach Lattices. JOURNAL OF MATHEMATICAL EXTENSION, 12(3), 147-163. https://www.sid.ir/en/journal/ViewPaper.aspx?id=667761



Vancouver: Copy

ARDAKANI H., MODARRES MOSADEGH S.M.S., SALIMI M., MOSHTAGHIOUN S.M.. L-limited and Almost L-limited Sets in Dual Banach Lattices. JOURNAL OF MATHEMATICAL EXTENSION. 2018 [cited 2021June24];12(3):147-163. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=667761



IEEE: Copy

ARDAKANI, H., MODARRES MOSADEGH, S., SALIMI, M., MOSHTAGHIOUN, S., 2018. L-limited and Almost L-limited Sets in Dual Banach Lattices. JOURNAL OF MATHEMATICAL EXTENSION, [online] 12(3), pp.147-163. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=667761.



 
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