Linear Normed Spaces with Extension Property
1966 ◽
Vol 9
(4)
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pp. 433-441
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Keyword(s):
The Real
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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).