Spectral inclusions between C0-quasi-semigroups and their generators
Résumé
In this paper, we show a spectral inclusion of a dierent spectra of a C0-quasi-semigroup and its generator and precisely for ordinary, point, approximate point, residual, essential and regular spectra.
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Références
P. Aiena, Fredholm and Local Spectral Theory with Applications to Multipliers, Kluwer. Acad. Press, 2004.
D. Barcenas and H. Leiva, Quasisemigroups, Evolutions E quation and Controllability, Notas de Matematicas no. 109, Universidad de Los Andes, Merida, Venezuela, 1991.
D. Barcenas and H. Leiva, Quasisemigroups and evolution equations, International Journal of Evolution Equations, vol. 1, no. 2, pp. 161-177, 2005.
D. Barcenas, H. Leiva and A. T. Moya, The Dual Quasi-Semigroup and Controllability of Evolution Equations, Journal of Mathematical Analysis and Applications, vol. 320, no. 2, pp. 691-702, 2006. https://doi.org/10.1016/j.jmaa.2005.07.031
J. Diestel and J. J. Jr. Uhl, Vector Measures, Mathematical Surveys and Monographs, 1977. https://doi.org/10.1090/surv/015
V. Kordula and V. Muller, The distance from the Apostol spectrum, Proc. Amer. Math. Soc. 124 (1996) 3055-3061. https://doi.org/10.1090/S0002-9939-96-03306-0
V. Muller, Spectral theory of linear operators and spectral systems in Banach algebras 2nd edition, Oper.Theo.Adva.Appl, 139 (2007).
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences, Springer-Verlag, New York 1983. https://doi.org/10.1007/978-1-4612-5561-1
Sutrima, Ch. Rini Indrati, L. Aryati and Mardiyana, The fundamental properties of quasi-semigroups, Journal of Physics: Conf. Series 855 (2017) 012052. https://doi.org/10.1088/1742-6596/855/1/012052
A. E. Taylar and D. C. Lay, Introduction to Functional Analysis, 2nd ed. New York: John Wiley and Sons, 1980.
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