Note on pointwise contractive projections
Let C(X) be the space of real-valued continuous functions on a Hausdorff completely regular topological space X. endowed with the compact-open topology. In this paper necessary and sufficient conditions are given for a subspace of C(X) to be the range of a pointwise contractive projection in C(X).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293001024 |
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| _version_ | 1850179251280543744 |
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| author | L. M. Sanchez Ruiz J. R. Ferrer Villanueva |
| author_facet | L. M. Sanchez Ruiz J. R. Ferrer Villanueva |
| author_sort | L. M. Sanchez Ruiz |
| collection | DOAJ |
| description | Let C(X) be the space of real-valued continuous functions on a Hausdorff completely
regular topological space X. endowed with the compact-open topology. In this paper necessary and
sufficient conditions are given for a subspace of C(X) to be the range of a pointwise contractive
projection in C(X). |
| format | Article |
| id | doaj-art-9ed4e089f6d14adda70fe4aa69b411eb |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9ed4e089f6d14adda70fe4aa69b411eb2025-08-20T02:18:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116481781810.1155/S0161171293001024Note on pointwise contractive projectionsL. M. Sanchez Ruiz0J. R. Ferrer Villanueva1Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Valencia 46071, SpainDepartamento de Matemática Aplicada, Universidad Politécnica de Valencia, Valencia 46071, SpainLet C(X) be the space of real-valued continuous functions on a Hausdorff completely regular topological space X. endowed with the compact-open topology. In this paper necessary and sufficient conditions are given for a subspace of C(X) to be the range of a pointwise contractive projection in C(X).http://dx.doi.org/10.1155/S0161171293001024contractive projectionextreme points. |
| spellingShingle | L. M. Sanchez Ruiz J. R. Ferrer Villanueva Note on pointwise contractive projections International Journal of Mathematics and Mathematical Sciences contractive projection extreme points. |
| title | Note on pointwise contractive projections |
| title_full | Note on pointwise contractive projections |
| title_fullStr | Note on pointwise contractive projections |
| title_full_unstemmed | Note on pointwise contractive projections |
| title_short | Note on pointwise contractive projections |
| title_sort | note on pointwise contractive projections |
| topic | contractive projection extreme points. |
| url | http://dx.doi.org/10.1155/S0161171293001024 |
| work_keys_str_mv | AT lmsanchezruiz noteonpointwisecontractiveprojections AT jrferrervillanueva noteonpointwisecontractiveprojections |