Linear Normed Spaces with Extension Property
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 433-441
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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).
Elliott, George; Halperin, Israel. Linear Normed Spaces with Extension Property. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 433-441. doi: 10.4153/CMB-1966-052-6
@article{10_4153_CMB_1966_052_6,
author = {Elliott, George and Halperin, Israel},
title = {Linear {Normed} {Spaces} with {Extension} {Property}},
journal = {Canadian mathematical bulletin},
pages = {433--441},
year = {1966},
volume = {9},
number = {4},
doi = {10.4153/CMB-1966-052-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-052-6/}
}
TY - JOUR AU - Elliott, George AU - Halperin, Israel TI - Linear Normed Spaces with Extension Property JO - Canadian mathematical bulletin PY - 1966 SP - 433 EP - 441 VL - 9 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-052-6/ DO - 10.4153/CMB-1966-052-6 ID - 10_4153_CMB_1966_052_6 ER -
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