## Bulletin of the Belgian Mathematical Society - Simon Stevin

### On the mathematical work of Jean Schmets

#### 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.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 14, Number 3 (2007), 385-405.

Dates
First available in Project Euclid: 28 September 2007

https://projecteuclid.org/euclid.bbms/1190994201

Digital Object Identifier
doi:10.36045/bbms/1190994201

Mathematical Reviews number (MathSciNet)
MR2387037

Zentralblatt MATH identifier
1161.01019

#### Citation

Bierstedt, Klaus D.; Bonet, José. On the mathematical work of Jean Schmets. Bull. Belg. Math. Soc. Simon Stevin 14 (2007), no. 3, 385--405. doi:10.36045/bbms/1190994201. https://projecteuclid.org/euclid.bbms/1190994201