On uniformly Gâteaux smooth $C^{(n)}$-smooth norms on separable Banach spaces

Title:

On uniformly Gâteaux smooth $C^{(n)}$-smooth norms on separable Banach spaces

Creator:

Fabian, Marián J. and Zizler, Václav

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f13999aa-cf00-446e-8de2-a52e8612c33e
uuid:f13999aa-cf00-446e-8de2-a52e8612c33e

Subject:

math, separable Banach spaces, and Gâteaux smooth bump function

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Every separable Banach space with $C^{(n)}$-smooth norm (Lipschitz bump function) admits an equivalent norm (a Lipschitz bump function) which is both uniformly Gâteaux smooth and $C^{(n)}$-smooth. If a Banach space admits a uniformly Gâteaux smooth bump function, then it admits an equivalent uniformly Gâteaux smooth norm.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

657-672

Source:

Czechoslovak Mathematical Journal | 1999 Volume:49 | Number:3

Harvested from:

CDK

Metadata only:

false