Hostname: page-component-857557d7f7-8wkb5 Total loading time: 0 Render date: 2025-11-20T13:22:14.387Z Has data issue: false hasContentIssue false
  • English
  • Français

Schauder bases in locally solid lattice Banach spaces

Published online by Cambridge University Press:  24 October 2008

Ioannis A. Polyrakis
Ioannis A. Polyrakis
Affiliation:
National Technical University, 15773 Athens, Greece
Get access Rights & Permissions [Opens in a new window]

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.

Information

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

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), 333–347.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), 271–284.Google Scholar