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...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Annali di matematica pura ed applicata Ročník 179; číslo 1; s. 189 - 196
Hlavní autoři: Bator, Elizabeth M., Slavens, Dawn R.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Heidelberg Springer Nature B.V 01.12.2001
Témata:
Approximation
Continuity (mathematics)
Decomposition
Function space
Mathematical analysis
Operators (mathematics)
ISSN:0373-3114, 1618-1891
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0373-3114
1618-1891
DOI:10.1007/BF02505954