NDLI: On Completions of LB-spaces of Moscatelli type

Content Provider	Springer Nature Link
Author	Dierolf, Susanne Kuß, Phillip
Copyright Year	2008
Abstract	We first present a class of LF-spaces, extending the class of LF-spaces of Moscatelli type, for which regularity implies completeness. Then we utilize the obtained results to describe the completions of LB-spaces of Moscatelli type. In particular, we prove that the completions of LB-spaces of that type are again LB-spaces.Presentamos primero una clase de espacios LF, que extiende los espacios LF de tipo Moscatelli, para la cual la regularidad del límite inductivo implica la completitud. A continuación utilizamos los resultados obtenidos para describir la completación de los espacios LB de tipo Moscatelli usual. En particular, demostramos que la completación de un espacio LB de ese tipo es también un espacio LB.
Starting Page	205
Ending Page	209
Page Count	5
File Format	PDF
ISSN	15787303
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
Volume Number	102
Issue Number	2
e-ISSN	15791505
Language	Spanish
Publisher	Springer-Verlag
Publisher Date	2008-01-01
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	LB-spaces LF-spaces spaces of Moscatelli type regular complete Spaces defined by inductive or projective limits Mathematics Applications of Mathematics Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology Applied Mathematics Algebra and Number Theory Analysis Computational Mathematics

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