A Functional Equation of Bohnemblust and Positive Homogeneous Functionals

We give a new version of a theorem proved by Bohnenblust and we deduce from it, in a direct way from a common background, several questions over characterization of positive homogeneous functionals. Some of them generalize earlier proved results related to Lp-norms. Also we obtain a result related t...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical analysis and applications 2000-06, Vol.246 (1), p.164-173
Main Author: Cuenya, Héctor H.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Functional analysis
Mathematical analysis
Mathematics
Sciences and techniques of general use
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We give a new version of a theorem proved by Bohnenblust and we deduce from it, in a direct way from a common background, several questions over characterization of positive homogeneous functionals. Some of them generalize earlier proved results related to Lp-norms. Also we obtain a result related to the equality in the Hölder inequality.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.2000.6775