Arzelà's Theorem and strong uniform convergence on bornologies
- Author
- CASERTA, Agata1 ; DI MAIO, Giuseppe1 ; HOLA, Lubica2
[1] Department of Mathematics, Seconda Università degli Studi di Napoli, Caserta 81100, Italy
[2] Institute of Mathematics, Academy of Sciences, 81473, Bratislava, Slovakia - Source
Journal of mathematical analysis and applications. 2010, Vol 371, Num 1, pp 384-392, 9 p ; ref : 34 ref
- CODEN
- JMANAK
- ISSN
- 0022-247X
- Scientific domain
- Control theory, operational research; Mathematics
- Publisher
- Elsevier, Amsterdam
- Publication country
- Netherlands
- Document type
- Article
- Language
- English
- Author keyword
- Arzelà's quasi-uniform convergence Bornology Pointwise and uniform convergence Strong continuity Strong uniform convergence
- Keyword (fr)
- Analyse mathématique Condition nécessaire suffisante Convergence forte Convergence uniforme Espace compact Espace métrique Espace topologique Fonction continue 26A46 26XX 54E35 Bornologie Ensemble fini Séquence réelle Théorème convergence Topologie convergence uniforme
- Keyword (en)
- Mathematical analysis Necessary and sufficient condition Strong convergence Uniform convergence Compact space Metric space Topological space Continuous function Bornology Real sequence
- Keyword (es)
- Análisis matemático Condición necesaria suficiente Convergencia fuerte Convergencia uniforme Espacio compacto Espacio métrico Espacio topológico Función continua
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E01 Real functions
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02G Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds / 001A02G01 General topology
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 23075441
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
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DOI
10.1016/j.jmaa.2010.05.042 
https://dx.doi.org/10.1016/j.jmaa.2010.05.042
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