Applications of a decomposition inX⊗λ Y

A Schauder Decomposition inX⊗λ when Y has a Schauder Decomposition is presented. This decomposition is then used to investigate the Approximation Property. For instance, it is shown that if X has the Approximation Property and Y has a basis thenX⊗λ has the Approximation Property. We also use this to...

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Veröffentlicht in:Annali di matematica pura ed applicata Jg. 179; H. 1; S. 189 - 196
Hauptverfasser: Bator, Elizabeth M., Slavens, Dawn R.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Heidelberg Springer Nature B.V 01.12.2001
Schlagworte:
Approximation
Continuity (mathematics)
Decomposition
Function space
Mathematical analysis
Operators (mathematics)
ISSN:0373-3114, 1618-1891
Online-Zugang:Volltext
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Zusammenfassung:A Schauder Decomposition inX⊗λ when Y has a Schauder Decomposition is presented. This decomposition is then used to investigate the Approximation Property. For instance, it is shown that if X has the Approximation Property and Y has a basis thenX⊗λ has the Approximation Property. We also use this to obtain results concerning operators on vector valued continuous function spaces.
Bibliographie:ObjectType-Article-1
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content type line 14
ISSN:0373-3114
1618-1891
DOI:10.1007/BF02505954