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Continuous functions on products of compact Hausdorff spaces

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  26 February 2010

J. E. Jayne ,
I. Namioka  and
C. A. Rogers
J. E. Jayne
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT.
I. Namioka
Affiliation:
University of Washington, Department of Mathematics, Box 354350, Seattle, WA 98195-4350, U.S.A.
C. A. Rogers
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT.
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Extract

In [4], we investigated the spaces of continuous functions on countable products of compact Hausdorff spaces. Our main object here is to extend the discussion to arbitrary products of compact Hausdorff spaces. We prove the following theorems in Section 3.

MSC classification

Secondary: 46B26: Nonseparable Banach spaces
Type
Research Article
Information
Mathematika , Volume 46 , Issue 2 , December 1999 , pp. 323 - 330
Copyright
Copyright © University College London 1999

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References

1. Babev, V. D. and Ribarska, N. K.. A stability for locally uniformly rotund renorming. To be published.Google Scholar
2. Deville, R. and Godefroy, G.. Some applications of projective resolutions of identity. Proc. London Math. Soc, 67 (1993), 183–199.CrossRefGoogle Scholar
3. Jayne, J. E., Namioka, I. and Rogers, C. A.. Norm fragmented weak* compact sets. Collect. Math., 41 (1990), 133–163.Google Scholar
4. Jayne, J. E., Namioka, I. and Rogers, C. A., σ-fragmentable Banach spaces. Mathematika, 39 (1992), 161–188 and 197-215.CrossRefGoogle Scholar
5. Jayne, J. E., Namioka, I. and Rogers, C. A.. Topological properties of Banach spaces. Proc. London Math. Soc. (3), 66 (1993), 651–672.CrossRefGoogle Scholar
6. Jayne, J. E., Namioka, I. and Rogers, C. A.. Fragmentability and σ-fragmentability. Fund. Math. 143 (1993), 207–220.CrossRefGoogle Scholar
7. Jayne, J. E., Namioka, I. and Rogers, C. A.. σ-fragmented Banach spaces, II. Studia Math. 111 (1994), 69–80.CrossRefGoogle Scholar
8. Jayne, J. E., Namioka, I. and Rogers, C. A.. Continuous functions on compact totally ordered spaces. J. Fund. Anal., to appear.Google Scholar
9. Moors, W.. Private communication.Google Scholar
10. Namioka, I. and Pol, R.. Sigma-fragmentability of mappings into Cp(K). Topology Appl., 89 (1998), 249–263.CrossRefGoogle Scholar
11. Ribarska, N. K.. Preprint.Google Scholar
12. Zizler, V.. Locally uniformly rotund renorming and decomposition of Banach spaces. Bull. Austral. Math. Soc, 29 (1984), 259–265.CrossRefGoogle Scholar