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Two counter-examples in nonseparable Banach spaces

Published online by Cambridge University Press:  17 April 2009

G.A. Alexandrov  and
M.I. Kadec
G.A. Alexandrov
Affiliation:
Department of Mathematics and Informatics, University of Sofia, 5 J. Bourchier Blvd, 1126 Sofia, Bulgaria
M.I. Kadec
Affiliation:
Pravda prosp. 5, Flat 26, 310022-Kharkov, Ukraine
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Abstract

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It is shown that the well-known theorem of Kadec for the HГ renorming of separable Banach spaces, when Г is a norming subspace in the dual, cannot be extended to the class of nonseparable Banach spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 1 , February 1994 , pp. 21 - 24
Copyright
Copyright © Australian Mathematical Society 1994

References

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