IJPAM: Volume 118, No. 3 (2018)

Title

THE MAPS WHICH PRESERVING COAPPROXIMATION
IN BANACH LATTICES

Authors

Majid Abrishami-Moghaddam
Department of Mathematics
Birjand Branch
Islamic Azad University
Birjand, IRAN

Abstract

The aim of this paper is to introduce the concept of coapproximation preserving operators on Banach lattices with a strong unit. We show that every lattice isomorphism is an coapproximation preserving operator.

History

Received: 2017-02-16
Revised: 2018-02-24
Published: April 16, 2018

AMS Classification, Key Words

AMS Subject Classification: 41A65, 46B42, 46B04
Key Words and Phrases: Banach lattice space, Best coapproximation, Coapproximtion preserving operator, Downward set, Normal set

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Bibliography

1
C. D. Aliprantis, O. Burkinshaw, Positive operators, Springer, Dordrecht, 2006, Reprint of the 1985 original.

2
H. Mazaheri, M. Hossein Zadeh, The maps preserving approximation, Int. Math. Forum, 17 (2007), 905-907.

3
S.M.S. Modarres, M. Dehghani, New results for best approximation on Banach lattices, Nonlinear Anal., 70 (2009), 3342-3347.

How to Cite?

DOI: 10.12732/ijpam.v118i3.22 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 118
Issue: 3
Pages: 767 - 771


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