Mathematics from Leningrad to Austin. George G. Lorentz' selected works in real, functional, and numerical analysis. Vol. 2. Ed. by Rudolph A. Lorentz
type: Item
instance of: scholarly article
title: Mathematics from Leningrad to Austin. George G. Lorentz' selected works in real, functional, and numerical analysis. Vol. 2. Ed. by Rudolph A. Lorentz
zbMATH Open document ID: 0874.01013
author: George G. Lorentz
published in: Contemporary Mathematicians
publication date: 1997-06-18T00:00:00Z
review text: This second volume [vol. 1, see above (Zbl 0874.01011)] begins with reviews by T. Erdélyi and P. Nevai of the six books on approximation and interpolation written by Lorentz and various co-authors. C. Bennett then reports on the papers in real analysis proper and in functional analysis. Efforts to axiomatize function space theory go back to Lorentz in 1951, and had final success in the work of W. A. J. Luxemburg and in the development of Lorentz spaces. An extensive bibliography paves the way to the papers on which Lorentz's work was influential. -- The latter can also be said of the report by H. Berens on approximation theory which covers work on Bernstein polynomials, Korovkin theory, relevant inequalities, entropy and \(n\)-widths, and best monotone approximation.
Mathematics Subject Classification ID: 01A75
Mathematics Subject Classification ID: 46-03
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 41-03
Mathematics Subject Classification ID: 65-03
zbMATH DE Number: 1024112
zbMATH Keywords: G. G. Lorentz
zbMATH Keywords: axiomatics of function spaces
zbMATH Keywords: approximation theory
reviewed by: Detlef Laugwitz
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1024112