Revista Matemática Iberoamericana

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Volume 18, Issue 2, 2002, pp. 409–430
DOI: 10.4171/RMI/324

Published online: 2002-08-31

Reflexivity of the isometry group of some classical spaces

Félix Cabello Sánchez[1] and Lajos Molnár[2]

(1) Universidad de Extremadura, Badajoz, Spain
(2) Lajos Kossuth University Debrecen, Hungary

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) Fréchet algebras of holomorphic functions. 7) Spaces of continuous functions.

Keywords: Reflexivity, Isometry, Automorphism

Cabello Sánchez Félix, Molnár Lajos: Reflexivity of the isometry group of some classical spaces. Rev. Mat. Iberoam. 18 (2002), 409-430. doi: 10.4171/RMI/324