p-integrable selectors of multimeasures
The present work is a study of multivalued functions and measures which have many applications to mathematical economics and control problems. Both have received considerable attention in recent years. We study the set of selectors of the space of all p- integrable, X- valued additive set functions....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
1979-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171279000193 |
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| _version_ | 1850178027903778816 |
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| author | Richard Aló Andre de Korvin Charles E. Roberts, Jr. |
| author_facet | Richard Aló Andre de Korvin Charles E. Roberts, Jr. |
| author_sort | Richard Aló |
| collection | DOAJ |
| description | The present work is a study of multivalued functions and measures which have many applications to mathematical economics and control problems. Both have received considerable attention in recent years. We study the set of selectors of the space of all p- integrable, X- valued additive set functions. This space contains an isometrically imbedded copy of Lp(X). |
| format | Article |
| id | doaj-art-c47a782bfbf74ee3a294166aa0fcb41c |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1979-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c47a782bfbf74ee3a294166aa0fcb41c2025-08-20T02:18:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012220922110.1155/S0161171279000193p-integrable selectors of multimeasuresRichard Aló0Andre de Korvin1Charles E. Roberts, Jr.2Department of Mathematics, Lamar University, Beaumont 77710, Texas, USADepartment of Mathematics, Indiana State University, Terre Haute 47809, Indiana, USADepartment of Mathematics, Indiana State University, Terre Haute 47809, Indiana, USAThe present work is a study of multivalued functions and measures which have many applications to mathematical economics and control problems. Both have received considerable attention in recent years. We study the set of selectors of the space of all p- integrable, X- valued additive set functions. This space contains an isometrically imbedded copy of Lp(X).http://dx.doi.org/10.1155/S0161171279000193p-integrable selectorsmultimeasuresBanach spaceRadon-Nikodym propertyfinite p-variationLp spaces. |
| spellingShingle | Richard Aló Andre de Korvin Charles E. Roberts, Jr. p-integrable selectors of multimeasures International Journal of Mathematics and Mathematical Sciences p-integrable selectors multimeasures Banach space Radon-Nikodym property finite p-variation Lp spaces. |
| title | p-integrable selectors of multimeasures |
| title_full | p-integrable selectors of multimeasures |
| title_fullStr | p-integrable selectors of multimeasures |
| title_full_unstemmed | p-integrable selectors of multimeasures |
| title_short | p-integrable selectors of multimeasures |
| title_sort | p integrable selectors of multimeasures |
| topic | p-integrable selectors multimeasures Banach space Radon-Nikodym property finite p-variation Lp spaces. |
| url | http://dx.doi.org/10.1155/S0161171279000193 |
| work_keys_str_mv | AT richardalo pintegrableselectorsofmultimeasures AT andredekorvin pintegrableselectorsofmultimeasures AT charleserobertsjr pintegrableselectorsofmultimeasures |