Uniformly bounded set-valued composition operators in the spaces of functions of bounded variation in the sense of Schramm

• Autorzy: Ereú T. , Merentes N. , Sanchez J. L. , Wróbel M.
• Języki publikacji: EN

Abstrakty

EN

We prove that, under some general assumptions, the one-sided regularizations of the generator of any uniformly bounded set-valued composition operator, acting in the spaces of functions of bounded variation in the sense of Schramm with nonempty bounded closed and convex values is an affine function. As a special case, we obtain an earlier result ([15]).

Słowa kluczowe

EN

affine function; Nemytskii operator; vector space

PL

funkcja ograniczona; funkcja afiniczna; Nemytskii operator; przestrzeń wektorowa

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2012
• Tom: Vol. 17
• Strony: 37--47
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Ereú T.

• Universidad Central de Venezuela Escuela de Matemáticas, Caracas, Venezuela

autor

Merentes N.

• Universidad Central de Venezuela Escuela de Matemáticas, Caracas, Venezuela

autor

Sanchez J. L.

• Universidad Central de Venezuela Escuela de Matemáticas, Caracas, Venezuela

autor

Wróbel M.

• Jan Długosz University, Institute of Mathematics and Computer Science, 42-200 Częstochowa, Al. Armii Krajowej 13/15, Poland

Bibliografia

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