Equicontinuous families of operators generating mean periodic maps
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 10 (1999) no. 3, pp. 141-171
The existence of mean periodic functions in the sense of L. Schwartz, generated, in various ways, by an equicontinuous group \( U \) or an equicontinuous cosine function \( C \) forces the spectral structure of the infinitesimal generator of \( U \) or \( C \). In particular, it is proved under fairly general hypotheses that the spectrum has no accumulation point and that the continuous spectrum is empty.
@article{RLIN_1999_9_10_3_a1,
author = {Casarino, Valentina},
title = {Equicontinuous families of operators generating mean periodic maps},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {141--171},
year = {1999},
volume = {Ser. 9, 10},
number = {3},
zbl = {1026.47505},
mrnumber = {MR1769161},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1999_9_10_3_a1/}
}
TY - JOUR AU - Casarino, Valentina TI - Equicontinuous families of operators generating mean periodic maps JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni PY - 1999 SP - 141 EP - 171 VL - 10 IS - 3 UR - http://geodesic.mathdoc.fr/item/RLIN_1999_9_10_3_a1/ LA - en ID - RLIN_1999_9_10_3_a1 ER -
%0 Journal Article %A Casarino, Valentina %T Equicontinuous families of operators generating mean periodic maps %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 1999 %P 141-171 %V 10 %N 3 %U http://geodesic.mathdoc.fr/item/RLIN_1999_9_10_3_a1/ %G en %F RLIN_1999_9_10_3_a1
Casarino, Valentina. Equicontinuous families of operators generating mean periodic maps. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 10 (1999) no. 3, pp. 141-171. http://geodesic.mathdoc.fr/item/RLIN_1999_9_10_3_a1/