Equicontinuous families of operators generating mean periodic maps
Casarino, Valentina
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 10 (1999), p. 141-171 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

Si dimostra che l’esistenza di funzioni medio-periodiche nel senso di L. Schwartz, generate, in diversi modi, da un gruppo U o da una funzione coseno C equicontinui condiziona la struttura dello spettro del generatore infinitesimale di U e di C. In particolare, si dimostra sotto ipotesi piuttosto generali che lo spettro è privo di punti di accumulazione e che lo spettro continuo è vuoto.

Publié le : 1999-09-01
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     author = {Valentina Casarino},
     title = {Equicontinuous families of operators generating mean periodic maps},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {10},
     year = {1999},
     pages = {141-171},
     zbl = {1026.47505},
     mrnumber = {1769161},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1999_9_10_3_141_0}
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Casarino, Valentina. Equicontinuous families of operators generating mean periodic maps. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 10 (1999) pp. 141-171. http://gdmltest.u-ga.fr/item/RLIN_1999_9_10_3_141_0/

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