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Dissipative operators and additive perturbations in locally convex spaces

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Dissipative operators and additive perturbations in locally convex spaces

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Albanese, AA.; Jornet Casanova, D. (2016). Dissipative operators and additive perturbations in locally convex spaces. Mathematische Nachrichten. 289(8-9):920-949. https://doi.org/10.1002/mana.201500150

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Título: Dissipative operators and additive perturbations in locally convex spaces
Autor: Albanese, Angela A. Jornet Casanova, David
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] Let (A, D(A)) be a densely defined operator on a Banach space X. Characterizations of when (A, D(A)) generates a C-0-semigroup on X are known. The famous result of Lumer and Phillips states that it is so if and only ...[+]
Palabras clave: Equicontinuous semigroup , Dissipative operator , Additive perturbation , (Uniformly) mean ergodic operator , Quasi-Montel operator , Locally convex space
Derechos de uso: Reserva de todos los derechos
Fuente:
Mathematische Nachrichten. (issn: 0025-584X )
DOI: 10.1002/mana.201500150
Editorial:
John Wiley & Sons
Versión del editor: https://doi.org/10.1002/mana.201500150
Código del Proyecto:
info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/
info:eu-repo/grantAgreement/UPV//PAID-06-12/
info:eu-repo/grantAgreement/GVA//ACOMP%2F2015%2F186/
Descripción: "This is the peer reviewed version of the following article: Albanese, Angela A., and David Jornet. 2015. Dissipative Operators and Additive Perturbations in Locally Convex Spaces. Mathematische Nachrichten 289 (8 9). Wiley: 920 49. doi:10.1002/mana.201500150, which has been published in final form at https://doi.org/10.1002/mana.201500150. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving."
Agradecimientos:
The research of the second author was partially supported by MINECO of Spain, Project MTM2013-43540-P, by Programa de Apoyo a la Investigacion y Desarrollo de la UPV, PAID-06-12 and by Generalitat Valenciana ACOMP/2015/186.[+]
Tipo: Artículo

References

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Albanese, A. A., Bonet, J., & Ricker, W. J. (2013). Montel resolvents and uniformly mean ergodic semigroups of linear operators. Quaestiones Mathematicae, 36(2), 253-290. doi:10.2989/16073606.2013.779978 [+]
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Albanese, A. A., Bonet, J., & Ricker, W. J. (2011). Mean ergodic semigroups of operators. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 106(2), 299-319. doi:10.1007/s13398-011-0054-2

Albanese, A. A., Bonet, J., & Ricker, W. J. (2013). Montel resolvents and uniformly mean ergodic semigroups of linear operators. Quaestiones Mathematicae, 36(2), 253-290. doi:10.2989/16073606.2013.779978

Albanese, A. A., Bonet, J., & Ricker, W. J. (2013). Convergence of arithmetic means of operators in Fréchet spaces. Journal of Mathematical Analysis and Applications, 401(1), 160-173. doi:10.1016/j.jmaa.2012.11.060

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