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Linear Normed Spaces with Extension Property

Published online by Cambridge University Press:  20 November 2018

George Elliott  and
Israel Halperin
George Elliott
Affiliation:
Queen's University, Kingston, Ontario
Israel Halperin
Affiliation:
Queen's University, Kingston, Ontario
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In this paper we shall say “E has the (F, G) (extension) property” to mean the following: F is a subspace of the real normed linear space G, E is a real normed linear space, and any bounded linear mapping F→E has a linear extension G→E with the same bound (equivalently, every linear mapping F→E of bound 1 has a linear extension G→E with bound 1).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 4 , October 1966 , pp. 433 - 441
Copyright
Copyright © Canadian Mathematical Society 1966

References

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