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Invertibles in topological rings: a new approach

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Invertibles in topological rings: a new approach

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García-Pacheco, FJ.; Miralles, A.; Murillo Arcila, M. (2022). Invertibles in topological rings: a new approach. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 116(1):1-17. https://doi.org/10.1007/s13398-021-01183-4

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Título: Invertibles in topological rings: a new approach
Autor: García-Pacheco, Francisco Javier Miralles, Alejandro Murillo Arcila, Marina
Fecha difusión:
Resumen:
[EN] Every element in the boundary of the group of invertibles of a Banach algebra is a topological zero divisor. We extend this result to the scope of topological rings. In particular, we define a new class of semi-normed ...[+]
Palabras clave: Spectrum , Rings , Algebras , Zero divisor , Invertibles , Operator
Derechos de uso: Reserva de todos los derechos
Fuente:
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. (issn: 1578-7303 )
DOI: 10.1007/s13398-021-01183-4
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s13398-021-01183-4
Código del Proyecto:
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-094431-B-I00/ES/ESPACIOS DE FUNCIONES: FUNCIONES ANALITICAS Y OPERADORES DE COMPOSICION. RENORMAMIENTOS Y TOPOLOGIA DESCRIPTIVA/
...[+]
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-094431-B-I00/ES/ESPACIOS DE FUNCIONES: FUNCIONES ANALITICAS Y OPERADORES DE COMPOSICION. RENORMAMIENTOS Y TOPOLOGIA DESCRIPTIVA/
info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2021%2F070//Análisis funcional, dinámica de operadores y aplicaciones/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/
info:eu-repo/grantAgreement/Junta de Andalucía//FEDER-UCA18-105867/
info:eu-repo/grantAgreement/MECD//MTM2016-75963-P//Dinámica de operadores/
info:eu-repo/grantAgreement/MCIU//PGC-101514-B-I00/
info:eu-repo/grantAgreement/UJI//8059%2F2019/
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Agradecimientos:
The authors would like to thank the reviewers for their valuable comments and remarks which have contributed to improve the presentation and quality of the manuscript. The first author has been supported by Research Grant ...[+]
Tipo: Artículo

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