The approximation property of some vector valued Sobolev-Slobodeckij spaces

Carlos Bosch, Salvador Pérez-Esteva and Joaquín Motos

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-9

Abstract:

In this paper we consider the Sobolev-Slobodeckij spaces W m , p ( ℜ n , E ) where E is a strict ( L F ) -space, m ∈ ( 0 , ∞ ) \ ℕ and p ∈ [ 1 , ∞ ) . We prove that W m , p ( ℜ n , E ) has the approximation property provided E has it, furthermore if E is a Banach space with the strict approximation property then W m , p ( ℜ n , E ) has this property.

Date: 1992
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/15/575019.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/15/575019.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:575019

DOI: 10.1155/S0161171292000577

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().