Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces

• Autorzy: Janusz Matkowski , Małgorzata Wróbel
• Języki publikacji: EN

Abstrakty

EN

We show that the generator of any uniformly bounded set-valued Nemytskij composition operator acting between generalized Hölder function metric spaces, with nonempty, bounded, closed, and convex values, is an affine function.

Słowa kluczowe

EN

Nemytskij composition operator; Uniformly bounded operator; Set-valued function; Generalized Hölder function metric space

Kategorie tematyczne

• 47H30: Particular nonlinear operators (superposition, Hammerstein, Nemytski{\u\i}, Uryson, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 2
• Strony: 609-618

Daty

wydano

2012-04-01

online

2012-01-18

Twórcy

autor

Janusz Matkowski

autor

Małgorzata Wróbel

• Jan Długosz University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0002-1