Mathematics from Leningrad to Austin. George G. Lorentz' selected works in real, functional, and numerical analysis. Vol. 2. Ed. by Rudolph A. Lorentz
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.
scientific article; zbMATH DE number 1024112