Measurable selections of limit points
type: Item
instance of: scholarly article
title: Measurable selections of limit points
zbMATH Open document ID: 0612.28008
DOI: 10.1007/BF01198238
author: Harald Luschgy
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: The main purpose of this paper is to prove the existence of a Borel measurable selection of limit points in a dual Banach space not necessarily separable and equipped with the weak star topology. In order to do that the author first establishes some auxiliary results in a very general context, some of which of independent interest. The main theorem contains an earlier result given by \textit{A. D. Kuz'min} [Vestn. Mosk. Univ., Ser. XV 1977, No.2, 58-66 (1977; Zbl 0436.62011)] concerning the existence of a Borel measurable selection of limit points in a separable Hilbert space equipped with the weak topology.
Mathematics Subject Classification ID: 28B20
Mathematics Subject Classification ID: 54C65
zbMATH DE Number: 3989693
zbMATH Keywords: Borel measurable selection of limit points
zbMATH Keywords: dual Banach space
reviewed by: Patrizia Pucci
MaRDI profile type: Publication
cites work: Measurable selections of extrema
cites work: Minimax property of Pitman estimate in Hilbert space
cites work: On the extension of von Neumann-Aumann's theorem
cites work: Q4052400
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description: scientific article; zbMATH DE number 3989693