Shape-preserving projections in low-dimensional settings and the q-monotone case
Let P:X → V be a projection from a real Banach space X onto a subspace V and let S ⊂ X. In this setting, one can ask if S is left invariant under P, i.e., if PS ⊂ S. If V is finite-dimensional and S is a cone with particular structure, then the occurrence of the imbedding PS ⊂ S can be characterized...
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| Date: | 2012 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2012
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164420 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Shape-preserving projections in low-dimensional settings and the q-monotone case / M.P. Prophet, I.A. Shevchuk // Український математичний журнал. — 2012. — Т. 64, № 5. — С. 674-684. — Бібліогр.: 8 назв. — англ. |