The approximation property of some vector valued Sobolev-Slobodeckij spaces
In this paper we consider the Sobolev-Slobodeckij spaces Wm,p(ℜn,E) where E is a strict (LF)-space, m∈(0,∞)\ℕ and p∈[1,∞). We prove that Wm,p(ℜn,E) has the approximation property provided E has it, furthermore if E is a Banach space with the strict approximation property then Wm,p(ℜn,E) has this pro...
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171292000577 |
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| _version_ | 1832562818735407104 |
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| author | Carlos Bosch Salvador Pérez-Esteva Joaquín Motos |
| author_facet | Carlos Bosch Salvador Pérez-Esteva Joaquín Motos |
| author_sort | Carlos Bosch |
| collection | DOAJ |
| description | In this paper we consider the Sobolev-Slobodeckij spaces Wm,p(ℜn,E) where E is a strict (LF)-space, m∈(0,∞)\ℕ and p∈[1,∞). We prove that Wm,p(ℜn,E) has the approximation property provided E has it, furthermore if E is a Banach space with the strict approximation property then Wm,p(ℜn,E) has this property. |
| format | Article |
| id | doaj-art-75c514025f4049b08efb503b3af8a1f4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-75c514025f4049b08efb503b3af8a1f42025-02-03T01:21:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115342543310.1155/S0161171292000577The approximation property of some vector valued Sobolev-Slobodeckij spacesCarlos Bosch0Salvador Pérez-Esteva1Joaquín Motos2Instituto de Matemáticas, U.N.A.M., Area de la Investigación Científica, Ciudad Universitaria, Mexico D.F. 04510, MexicoInstituto de Matemáticas, U.N.A.M., Area de la Investigación Científica, Ciudad Universitaria, Mexico D.F. 04510, MexicoDepartamento de Matemática Aplicada, Universidad Politécnica de Valencia, Camino de Vera s/n, Valencia 46022, SpainIn this paper we consider the Sobolev-Slobodeckij spaces Wm,p(ℜn,E) where E is a strict (LF)-space, m∈(0,∞)\ℕ and p∈[1,∞). We prove that Wm,p(ℜn,E) has the approximation property provided E has it, furthermore if E is a Banach space with the strict approximation property then Wm,p(ℜn,E) has this property.http://dx.doi.org/10.1155/S0161171292000577Sobolev-Slobodeckijstrict (LF) spacethe approximation property. |
| spellingShingle | Carlos Bosch Salvador Pérez-Esteva Joaquín Motos The approximation property of some vector valued Sobolev-Slobodeckij spaces International Journal of Mathematics and Mathematical Sciences Sobolev-Slobodeckij strict (LF) space the approximation property. |
| title | The approximation property of some vector valued Sobolev-Slobodeckij spaces |
| title_full | The approximation property of some vector valued Sobolev-Slobodeckij spaces |
| title_fullStr | The approximation property of some vector valued Sobolev-Slobodeckij spaces |
| title_full_unstemmed | The approximation property of some vector valued Sobolev-Slobodeckij spaces |
| title_short | The approximation property of some vector valued Sobolev-Slobodeckij spaces |
| title_sort | approximation property of some vector valued sobolev slobodeckij spaces |
| topic | Sobolev-Slobodeckij strict (LF) space the approximation property. |
| url | http://dx.doi.org/10.1155/S0161171292000577 |
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