Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-19T09:29:53.009Z Has data issue: false hasContentIssue false
  • English
  • Français

Stability theorems for wedges

Published online by Cambridge University Press:  20 January 2009

G. Brown  and
J.D. Pryce
J.D. Pryce
Affiliation:
University of Liverpool, University of Aberdeen
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We are concerned with the stability properties of uniformly closed wedges in C(E) (resp. C+(E)), the real-valued (resp. non-negative) continuous functionson a compact space E, and solve the following problems in this area:

(a) Let A be a closed semi-algebra in C+(E) such that

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 17 , Issue 3 , June 1971 , pp. 201 - 214
Copyright
Copyright © Edinburgh Mathematical Society 1971

References

REFERENCES

(1)Barbeau, E. J., Commutative semi-algebras (Ph.D. Thesis, University of Newcastle upon Tyne, 1964).Google Scholar
(2)Barnes, B. A., (to appear).Google Scholar
(3)Bonsall, F. F., Semi-algebras of continuous functions, Proc. London Math. Soc. (3) 10 (1960), 1–16.Google Scholar
(4)Bonsall, F. F., Semi-algebras of continuous functions, Proc. Int. Symposium on Linear Spaces (Jerusalem 1960), 101–114.Google Scholar
(5)Bonsall, F. F., Stability theorems for wedges and semi-algebras, J. Functional Analysis 4 (1969), 135–145.CrossRefGoogle Scholar
(6)Brown, G., Stability of wedges and semi-algebras, Proc. Cambridge Philos. Soc. 64 (1968), 365–376.CrossRefGoogle Scholar
(7)Choquet, G. and Deny, J., Ensembles semi-réticulés et ensembles réticulés de fonctions continues, J. Math. Pures Appl. 36 (1957), 179–189.Google Scholar
(8)Guber, S., Über die Struktur gewisser Funktionenkegel, (Ph.D. Dissertation, Friedrich-Alexander-Universität Erlangen, 1961).Google Scholar
(9)Pryce, J. D., On type F semi-algebras of continuous functions, Quart. J. Math. Oxford (2) 16 (1965), 65–71.CrossRefGoogle Scholar
(10)Roy, A. K., (to appear).Google Scholar