Schauder bases in locally solid lattice Banach spaces
Published online by Cambridge University Press: 24 October 2008
Extract
Schauder bases in Banach spaces are studied in [5].
In ordered Banach spaces a special type of Schauder bases, the O.P. Schauder bases, are studied because then the properties of ordered spaces can be used.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 1 , January 1987 , pp. 91 - 105
- Copyright
- Copyright © Cambridge Philosophical Society 1987
References
REFERENCES
[1]Jameson., G. J. O.Ordered Linear Spaces. Lectures Notes in Math., vol. 141 (Springer-Verlag, 1970).CrossRefGoogle Scholar
[3]Schaefer., H. H.Banach Lattices and Positive Operators (Springer-Verlag, 1974).CrossRefGoogle Scholar
[4]Schmidt., G. C.Cones with faces, M-discrete ordered linear spaces and representations of discrete linear lattices. J. London Math. Soc. (2) 16 (1977), 333–347.CrossRefGoogle Scholar
[6]Wickstead., A. W.Compact subsets of partially ordered Banach spaces. Math. Ann. 212 (1975), 271–284.Google Scholar
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