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On the existence of support maps with dense images

Published online by Cambridge University Press:  09 April 2009

Brailey Sims
Brailey Sims
Affiliation:
University of New England, Armidale, N.S.W. 2351, Australia.
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Abstract

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For a normed linear space X we investigate conditions for the existence of support maps under which the image of X is a dense subset of the dual. In the case of finite-dimensional spaces a complete answer is given. For more general spaces some sufficient conditions are obtained.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 4 , June 1977 , pp. 504 - 510
Copyright
Copyright © Australian Mathematical Society 1977

References

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