Hille-Yosida theory in convenient analysis.

Teichmann, Josef. "Hille-Yosida theory in convenient analysis.." Revista Matemática Complutense 15.2 (2002): 449-474. <http://eudml.org/doc/44369>.

@article{Teichmann2002,
abstract = {A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequentially complete locally convex spaces. The approach is governed by convenient analysis and the credo that many reasonable questions concerning strongly continuous semigroups can be proved on the subspace of smooth vectors. Examples from literature are reconsidered by these simpler methods and some applications to the theory of infinite dimensional heat equations are given.},
author = {Teichmann, Josef},
journal = {Revista Matemática Complutense},
keywords = {Semigrupos; Operadores lineales; Espacios localmente convexos; Ecuaciones de evolución; Ecuación del calor; analysis on locally convex spaces; initial value problems; Hille-Yosida theorem; convenient vector spaces; convenient analysis; strongly continuous semigroups; infinite-dimensional heat equations},
language = {eng},
number = {2},
pages = {449-474},
title = {Hille-Yosida theory in convenient analysis.},
url = {http://eudml.org/doc/44369},
volume = {15},
year = {2002},
}

TY - JOUR
AU - Teichmann, Josef
TI - Hille-Yosida theory in convenient analysis.
JO - Revista Matemática Complutense
PY - 2002
VL - 15
IS - 2
SP - 449
EP - 474
AB - A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequentially complete locally convex spaces. The approach is governed by convenient analysis and the credo that many reasonable questions concerning strongly continuous semigroups can be proved on the subspace of smooth vectors. Examples from literature are reconsidered by these simpler methods and some applications to the theory of infinite dimensional heat equations are given.
LA - eng
KW - Semigrupos; Operadores lineales; Espacios localmente convexos; Ecuaciones de evolución; Ecuación del calor; analysis on locally convex spaces; initial value problems; Hille-Yosida theorem; convenient vector spaces; convenient analysis; strongly continuous semigroups; infinite-dimensional heat equations
UR - http://eudml.org/doc/44369
ER -