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The day norm and Gruenhage compacta

Published online by Cambridge University Press:  17 April 2009

M. Fabian ,
V. Montesinos  and
V. Zizler
M. Fabian
Affiliation:
Mathematical Institute of the Czech Academy of Sciences, Žitná 25, 11567, Prague 1, Czech Republic, e-mail: fabian@math.cas.cz
V. Montesinos
Affiliation:
Department of Mathematical Sciences, University of Alberta, 632 Central Academic Building, Edmonton, Alberta T6G 2G1, Canada, e-mail: vzizler@math.ualberta.ca
V. Zizler
Affiliation:
Departamento de Matemática Aplicada, E.T.S.I. Telecomunicación, Universidad Politécnica de Valencia, C/Vera, s/n. 46071 Valencia, Spain, e-mail: vmontesinos@mat.upv.es
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A close connection between the strict convexity of the Day norm to the concept of the Gruenhage compacta is shown. As a byproduct we give an elementary characterisation of Gul'ko compacta in the sigma-product of lines and a more elementary proof of Mercourakis' renorming result for Vašák spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 3 , June 2004 , pp. 451 - 456
Copyright
Copyright © Australian Mathematical Society 2004

References

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