A Hahn-Banach Theorem in Conjugate Banach Spaces.
Bernd Müller (1977)
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Bernd Müller (1977)
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Jacobus J. Grobler (1975)
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Ky Fan (1951/52)
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Manuel González, Victor M. Onieva (1986)
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Greim, Peter
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Peter G. Dodds, Anton R. Schep (1982)
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Jarno Talponen (2010)
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We characterize Hilbert spaces among Banach spaces in terms of transitivity with respect to nicely behaved subgroups of the isometry group. For example, the following result is typical: If X is a real Banach space isomorphic to a Hilbert space and convex-transitive with respect to the isometric finite-dimensional perturbations of the identity, then X is already isometric to a Hilbert space.
Ehrhard Behrends (1982)
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Lech Drewnowski (1986)
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