On the Hahn-Banach Extension Property
Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 9-13
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In this paper, we consider real linear spaces. By (V:‖ ‖) we mean a normed (real) linear space V with norm ‖ ‖. By the statement "V has the (Y, X) norm preserving (Hahn-Banach) extension property" we mean the following: Y is a subspace of the normed linear space X, V is a normed linear space, and any bounded linear function f: Y → V has a linear extension F: X → V such that ‖F‖ = ‖f‖. By the statement "V has the unrestricted norm preserving (Hahn-Banach) extension property" we mean that V has the (Y, X) norm preserving extension property for all Y and X with Y ⊂ X.
To, Ting-On. On the Hahn-Banach Extension Property. Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 9-13. doi: 10.4153/CMB-1970-002-4
@article{10_4153_CMB_1970_002_4,
author = {To, Ting-On},
title = {On the {Hahn-Banach} {Extension} {Property}},
journal = {Canadian mathematical bulletin},
pages = {9--13},
year = {1970},
volume = {13},
number = {1},
doi = {10.4153/CMB-1970-002-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-002-4/}
}
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