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The weak-star closure of the unit ball in a hyperplane

Published online by Cambridge University Press:  20 January 2009

G. J. O. Jameson
G. J. O. Jameson
Affiliation:
University of Warwick, Coventry
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Let X be a normed linear space. We regard X as a subspace of its bidual X**. Polars will always be evaluated in the pair (X**, X*). We denote the closed unit ball in X by U, so that U0, U00 are the closed unit balls in X*, X** respectively. The weak topology induced by X on X* (the “weak-star” topology) will be denoted by σ(X), and cl() will denote σ(X)-closure.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 1 , June 1972 , pp. 7 - 11
Copyright
Copyright © Edinburgh Mathematical Society 1972

References

REFERENCES

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