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.
Publié le : 2007-09-14
Classification:
spaces of (vector valued) continuous functions,
(quasi)barrelled and (ultra)bornological spaces associated with a locally convex space,
domains of real analytic existence,
Borel theorem,
Whitney jets,
continuous linear right inverses for restriction maps,
Whitney extensions for non quasianalytic functions,
real analytic extensions,
01A70,
26E05,
26E10,
46A08,
46A63,
46E10,
46E25,
46E40,
46G20,
46M18
@article{1190994201,
author = {Bierstedt, Klaus D. and Bonet, Jos\'e},
title = {On the mathematical work of Jean Schmets},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {13},
number = {5},
year = {2007},
pages = { 385-405},
language = {en},
url = {http://dml.mathdoc.fr/item/1190994201}
}
Bierstedt, Klaus D.; Bonet, José. On the mathematical work of Jean Schmets. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp. 385-405. http://gdmltest.u-ga.fr/item/1190994201/