Reflexivity of the isometry group of some classical spaces | Zendy

Félix Cabello Sánchez | Zendy; Lajos Molnár | Zendy

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Reflexivity of the isometry group of some classical spaces

Author(s) -

Félix Cabello Sánchez,

Lajos Molnár

Publication year - 2002

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/324

Subject(s) - isometry (riemannian geometry) , mathematics , holomorphic function , pure mathematics , fréchet space , automorphism , uniform continuity , lp space , metric space , group (periodic table) , hardy space , interpolation space , reflexivity , banach space , functional analysis , sociology , physics , biochemistry , chemistry , gene , social science , quantum mechanics

We investigate the reflexivity of the isometry group and the automorphismgroup of some important metric linear spaces and algebras. The paper consistsof the following sections: 1. Preliminaries. 2. Sequence spaces. 3. Spaces ofmeasurable functions. 4. Hardy spaces. 5. Banach algebras of holomorphicfunctions. 6. Frechet algebras of holomorphic functions. 7. Spaces ofcontinuous functions.

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