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Reflexivity of the isometry group of some classical spaces

Felix Cabello Sanchez, Lajos Molnar

math.FAarXiv:math/0108056

Abstract

We investigate the reflexivity of the isometry group and the automorphism group of some important metric linear spaces and algebras. The paper consists of the following sections: 1. Preliminaries. 2. Sequence spaces. 3. Spaces of measurable functions. 4. Hardy spaces. 5. Banach algebras of holomorphic functions. 6. Frechet algebras of holomorphic functions. 7. Spaces of continuous functions.

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