Temat: locally defined operators - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense
Autorzy:: Ereu, T.
Merentes, N.
Sanchez, J. L.
Wróbel, M.
Powiązania:: https://bibliotekanauki.pl/articles/255979.pdf
Data publikacji:: 2012
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Phi-variation in the sense of Schramm
uniformly continuous operator
regularization
composition operator
Jensen equation
locally defined operators
Opis:: We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized Φ-variation in the Schramm sense is affine. A composition operator is locally defined. We show that every locally defined operator mapping the space of continuous functions of bounded (in the sense of Jordan) variation into the space of continous monotonic functions is constant.
Źródło:: Opuscula Mathematica; 2012, 32, 2; 239-247
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Locally defined operators acting C∞ (A) into C0 (A)
Autorzy:: Wróbel, Małgorzata
Powiązania:: https://bibliotekanauki.pl/articles/2175527.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: locally defined operators
function of the class C∞ in the Whitney sense
m-times Whitney continuously differentiable function
operator zdefiniowany lokalnie
Opis:: We investigate the locally defined operators, sometimes called operators with memory, that map the space C∞ (A) of continuously differentiable functions in the sense of Whitney defined on a compact subset A ⊂ Rn into the space of continuous functions defined on the same set A. Using the Whitney Extension Theorem, we give a representation formula for such operators stating that every local operator K : C∞ (A) → C0 (A) is a generalized Nemytskii operator generated by some function h : A × RN → R.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 103--110
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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