Some results in non-multiplicative \(B^ q\)-theory
type: Item
instance of: scholarly article
title: Some results in non-multiplicative \(B^ q\)-theory
zbMATH Open document ID: 0665.10030
DOI: 10.1007/BF01195217
author: Peter Kunth
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: While the closed subspace \(B^ q\) of the q-almost-even number- theoretical functions \((1<q<\infty)\) does show uniform convexity, the Banach space \(b^ q\), sequence space of Besicovitch, does not. Proving and confirming by different methods from functional analysis two special theorems of the non-multiplicative \(B^ q\)-theory has been the particular goal of investigation. This leads us to present necessary and sufficient criteria for well-founded final conclusion as to when \(B^ 1\)-functions are \(B^ q\)-functions as well.
Mathematics Subject Classification ID: 11N99
zbMATH DE Number: 4087767
zbMATH Keywords: q-almost-even number-theoretical functions
zbMATH Keywords: sequence space of Besicovitch
zbMATH Keywords: non-multiplicative \(B^ q\)-theory
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4087767