A Geometrical Essence of Nonsubstitution Theorems
| Autor: | Fujimoto, Takao, Ranade, Ravindra Raghunath |
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| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: | |
| Zdroj: | 香川大学経済論叢. 77(4):721-727 |
| ISSN: | 0389-3030 |
| Popis: | application/pdf In this note, we give a proposition which shows a geometrical essence of the nonsubstitution theorems. This proposition is concerned with the universality of an optimal solution of linear programs in Hilbert spaces. The essence is that a given linear map covers the positive cone in the target space even when it is restricted to the subspace of the domain which is spanned by the subbasis contained in that optimal solution. For the reader's convenience, we also give a rather extended list of articles on nonsubstitution theorems, though many of them are not cited in the main body. |
| Databáze: | OpenAIRE |
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