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Schauder bases in locally solid lattice Banach spaces

Published online by Cambridge University Press:  24 October 2008

Ioannis A. Polyrakis
Affiliation:
National Technical University, 15773 Athens, Greece

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
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

REFERENCES

[1]Jameson., G. J. O.Ordered Linear Spaces. Lectures Notes in Math., vol. 141 (Springer-Verlag, 1970).CrossRefGoogle Scholar
[2]Jameson., G. J. O.Topology and Normed Spaces (Chapman and Hall, 1974).Google 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), 333347.CrossRefGoogle Scholar
[5]Singes., I.Bases in Banach Spaces I (Springer-Verlag, 1970).CrossRefGoogle Scholar
[6]Wickstead., A. W.Compact subsets of partially ordered Banach spaces. Math. Ann. 212 (1975), 271284.Google Scholar