DC pole | Wartość | Język |
dc.contributor.author | Matkowska, A. | - |
dc.contributor.author | Matkowski, Janusz | - |
dc.contributor.author | Merentes, N. | - |
dc.date.accessioned | 2020-09-17T08:42:09Z | - |
dc.date.available | 2020-09-17T08:42:09Z | - |
dc.date.issued | 1995 | - |
dc.identifier.citation | Demonstratio Mathematica, Vol. 28, nr 1 (1995) s. 171-175 | pl_PL |
dc.identifier.issn | 2391-4661 | - |
dc.identifier.issn | 0420-1213 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/15963 | - |
dc.description.abstract | Let I C R be an interval, f : I x R —> R a fixed two-place function, and J’(Z) the linear space of all the functions u : I —> R. The function F : F(I) —> F{I} given by the formula
(F(u))(x) := /(x,u(x)), x G I, u G F(Z),
is said to be a composition operator.
Let a G I be fixed. Denote by Lip(I) the Banach space of all the functions « E 7(f) with the norm
(1) IhllLip(l) := lu(°)l + sup | I Xi — X2 xi,x2 e I-,
In [2] it is proved that if a composition operator F mapping Lip(I) into itself is globally Lipschitzian with respect to the Lip(I)-norm, then /(x, y) = g(x)y + h(x), (x G I;y 6 R), for some g,h GLip(I) (Fragment tekstu). | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
dc.subject | Lipschitzian operators | pl_PL |
dc.subject | polynomials | pl_PL |
dc.subject | functions | pl_PL |
dc.title | Remark on globally Lipschitzian composition operators | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
dc.identifier.doi | 10.1515/dema-1995-0121 | - |
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