Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-18T16:59:30.795Z Has data issue: false hasContentIssue false
  • English
  • Français

Abstract Köthe Spaces. II

Published online by Cambridge University Press:  24 October 2008

D. H. Fremlin
D. H. Fremlin
Affiliation:
United College, Chinese University of Hong Kong
Get access Rights & Permissions [Opens in a new window]

Extract

This paper is devoted to results concerning the connexion between the ‘abstract’ preK spaces of (l) and the ‘concrete’ Köthe spaces of (3). These results, though in part independent, are not truly original, being in particular known to the authors of (2); but as far as I am aware they have not appeared in print in quite the form they take here.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 4 , October 1967 , pp. 951 - 956
Copyright
Copyright © Cambridge Philosophical Society 1967

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.)

References

REFERENCES

(1)Fremlin, D. H.Abstract Köthe spaces, I. Proc. Cambridge Philos. Soc. 63 (1967), 653–660.Google Scholar
(2)Luxemburg, W. A. J. and Zaanen, A. C.Notes on Banach function spaces. Nederl. Akad. wetensch Proc. Ser. A (a) (Note VI), 66 (1963), 655–688; (b) (Note VIII), 67 (1964), 104–119.Google Scholar
(3)Dieudonné, J.Sur les Espaces de Köthe. J. d'Analyse Math. 1 (1951), 81–115.Google Scholar
(4)Kakutani, S.Concrete representation of abstract (L)-spaces and the mean ergodic theorem. Ann. of Math. (2) 42 (1941), 523–537.CrossRefGoogle Scholar
(5)Halmos, P. R.Measure theory (Van Nostrand, 1962).Google Scholar
(6)Birkhoff, G.Lattice theory (American Mathematical Society, 1948).Google Scholar
(7)Maharam, D.On homogeneous measure algebras. Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 108–111.Google Scholar
(8)Welland, R.On Köthe spaces. Trans. Amer. Math. Soc. 112 (1964), 267–277.Google Scholar