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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Datum:2012
Hauptverfasser: Prophet, M.P., Shevchuk, I.A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2012
Schriftenreihe:Український математичний журнал
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Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/164420
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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