An isomorphic characterization of property 𝛽 of Rolewicz


Abstract


In the paper it is shown that in a separable Banach space there is a norm with property (𝛽) of S. Rolewicz if and only if there is a norm which is simultaneously nearly uniformly convex and nearly uniformly smooth.

DOI Code: 10.1285/i15900932v10n2p347

Full Text: PDF
کاغذ a4

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.