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September 2007 On the mathematical work of Jean Schmets
Klaus D. Bierstedt, José Bonet
Bull. Belg. Math. Soc. Simon Stevin 14(3): 385-405 (September 2007). DOI: 10.36045/bbms/1190994201

Abstract

In the introductory Section 0. some of the most important points in the professional curriculum vitae of Jean Schmets are given. Then Section 1 is devoted to present (part of) the work for which Schmets was very well known until 1990: He has been the leading specialist in the world for locally convex spaces $C(X)$ of continuous functions with various topologies and for the corresponding spaces $C(X,E)$ of vector valued continuous functions. Finally, in Section 2 some results which Schmets obtained in cooperation with Manuel Valdivia since 1990 are reviewed: work on domains of real analytic existence, continuous linear right inverses for $C^\infty$- functions and Whitney extensions for non quasianalytic functions.

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Klaus D. Bierstedt. José Bonet. "On the mathematical work of Jean Schmets." Bull. Belg. Math. Soc. Simon Stevin 14 (3) 385 - 405, September 2007. https://doi.org/10.36045/bbms/1190994201

Information

Published: September 2007
First available in Project Euclid: 28 September 2007

zbMATH: 1161.01019
MathSciNet: MR2387037
Digital Object Identifier: 10.36045/bbms/1190994201

Subjects:
Primary: 01A70
Secondary: 26E05 , 26E10 , 46A08 , 46A63 , 46E10 , 46E25 , 46E40 , 46G20 , 46M18

Keywords: (quasi)barrelled and (ultra)bornological spaces associated with a locally convex space , Borel theorem , continuous linear right inverses for restriction maps , domains of real analytic existence , real analytic extensions , spaces of (vector valued) continuous functions , Whitney extensions for non quasianalytic functions , Whitney jets

Rights: Copyright © 2007 The Belgian Mathematical Society

Vol.14 • No. 3 • September 2007
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