Simply regulated functions and semivariation in uniformly convex spaces
type: Item
instance of: scholarly article
title: Simply regulated functions and semivariation in uniformly convex spaces
zbMATH Open document ID: 0946.46038
author: Yanyan Li
published in: Real Analysis Exchange
publication date: 2000-05-21T00:00:00Z
review text: The author shows that in a uniformly convex Banach space every function with bounded semivariation is also simply regulated (with respect to a certain bilinear form on the triple \((L(X),X,X)\) of the Banach space \(X\) and the space of bounded linear operators \(L(X)\) on it).
reviewed by: Štefan Schwabik
Mathematics Subject Classification ID: 46G10
Mathematics Subject Classification ID: 26A39
zbMATH DE Number: 1449525
zbMATH Keywords: bilinear triples
zbMATH Keywords: generalized Riemann integral
zbMATH Keywords: regulated functions
zbMATH Keywords: simply regulated functions
zbMATH Keywords: uniformly convex Banach space
zbMATH Keywords: function with bounded semivariation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1449525