Spectral properties of weakly asymptotically almost periodic semigroups in the sense of Stepanov

Valentina Casarino

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1997)

  • Volume: 8, Issue: 3, page 167-181
  • ISSN: 1120-6330

Abstract

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The spectral structure of the infinitesimal generator of strongly measurable, asymptotically S p -almost periodic semigroups is investigated.

How to cite

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Casarino, Valentina. "Spectral properties of weakly asymptotically almost periodic semigroups in the sense of Stepanov." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 8.3 (1997): 167-181. <http://eudml.org/doc/244104>.

@article{Casarino1997,
abstract = {The spectral structure of the infinitesimal generator of strongly measurable, asymptotically \( S^\{p\} \)-almost periodic semigroups is investigated.},
author = {Casarino, Valentina},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Semigroups of class (A); Asymptotically S^-almost periodic functions; Spectrum; asymptotically almost periodic function; semigroups; spectral properties},
language = {eng},
month = {10},
number = {3},
pages = {167-181},
publisher = {Accademia Nazionale dei Lincei},
title = {Spectral properties of weakly asymptotically almost periodic semigroups in the sense of Stepanov},
url = {http://eudml.org/doc/244104},
volume = {8},
year = {1997},
}

TY - JOUR
AU - Casarino, Valentina
TI - Spectral properties of weakly asymptotically almost periodic semigroups in the sense of Stepanov
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1997/10//
PB - Accademia Nazionale dei Lincei
VL - 8
IS - 3
SP - 167
EP - 181
AB - The spectral structure of the infinitesimal generator of strongly measurable, asymptotically \( S^{p} \)-almost periodic semigroups is investigated.
LA - eng
KW - Semigroups of class (A); Asymptotically S^-almost periodic functions; Spectrum; asymptotically almost periodic function; semigroups; spectral properties
UR - http://eudml.org/doc/244104
ER -

References

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  1. AMERIO, L. - PROUSE, G., Almost Periodic Functions and Functional Equations. Van Nostrand, New York1971. Zbl0215.15701MR275061
  2. BOHR, H., Almost Periodic Functions. Chelsea, New York1947. Zbl0278.42019MR20163
  3. CORDUNEANU, C., Almost Periodic Functions. Inter science, New York1968. Zbl0672.42008MR481915
  4. GOLDSTEIN, J. A., Semigroups of Operators and Applications. Oxford University Press, Oxford1985. Zbl0592.47034MR790497
  5. GOLDSTEIN, J. A. - RADIN, C. - SHOWALTER, R. E., Convergence rates of ergodic limits for semigroups and cosine functions. Semigroup Forum, 16, 1978, 89-95. Zbl0393.47004MR487585
  6. HENRIQUEZ, H. R., On Stepanov-almost periodic semigroup and cosine functions of operators. Journal of Math. Analysis and Appl., 146, 1990, 420-433. Zbl0719.47023MR1043111DOI10.1016/0022-247X(90)90313-5
  7. HILLE, E. - PHILLIPS, R. S., Functional Analysis and Semigroups. Amer. Math. Soc. Colloq. Publ., vol. 31, Providence, R.I.1957. Zbl0078.10004MR89373
  8. MASANI, P., Ergodic theorems for locally strongly integrable semigroups of continuous linear operators on a Banach space. Adv. Math., 21, 1976, 202-228. Zbl0334.47004MR420337
  9. MEYER, Y., Algebraic Numbers and Harmonic Analysis. North-Holland, Amsterdam1972. Zbl0267.43001MR485769
  10. STEPANOV, W., Sur quelques generalizations des fonctions presque-périodiques. C. R. Acad. Sci. Paris, 181, 1925, 90-94. JFM51.0214.01
  11. STEPANOV, W., Ueber einige Verallgemeinerungen der fastperiodischen Funktionen. Math. Ann., 90, 1925, 473-492. JFM52.0262.01
  12. VESENTINI, E., Introduction to Continuous Semigroups. Scuola Normale Superiore, Pisa1996. Zbl1068.47001MR1736550
  13. VESENTINI, E., Spectral properties of weakly asymptotically almost periodic semigroups. Adv. Math., 128, 1997, 217-241. Zbl0882.22002MR1454398DOI10.1006/aima.1997.1613

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