Functions operating from a complex Banach space to its real part

Author:

Briem Eggert

Abstract

We consider functions operating from a complex Banach function space to its real part. We show among other things, that if | b | Re B |b|\in \textrm {Re}B for all b b in an ultraseparating Banach function space B B , then Re B = C R ( X ) B=C_ { \mathbf {R}}(X) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Espace des parties réelles des éléments d’une algèbre de Banach de fonctions;Bernard, A.;J. Functional Analysis,1972

2. Une fonction non lipschitzienne peut-elle opérer sur un espace de Banach de fonctions non trivial?;Bernard, Alain;J. Funct. Anal.,1994

3. Operating functions and ultraseparating function spaces;Briem, Eggert,1992

4. E. Briem and K. Jarosz, Operating functions for Banach function spaces, to appear in the Rocky Mount. J. of Math.

5. O. Hatori, Range transformations on a Banach function algebra III, Kitasato J. Liberal Arts and Sciences 23 (1989), 78-84.

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