Uniformly continuous superposition operators in the space of functions of bounded n-dimensional Φ-variation

• Autorzy: Bracamonte M. , Ereú J. , Giménez J. , Merentes N.
• Języki publikacji: EN

Abstrakty

EN

We prove that if a superposition operator maps a subset of the space of all metric-vector-space-valued-functions of bounded n-dimensional Φ-variation into another such space, and is uniformly continuous, then the generating function of the operator is an affine function in the functional variable.

Słowa kluczowe

EN

superposition operator; bounded Φ-variation; metric semigroup

PL

operator superpozycji; ograniczona Φ-zmiana; metryka półgrupy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 1
• Strony: 56--68
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Bracamonte M.

• Departamento De Matemáticas, Universidad Centroccidental Lisandro Alvarado Barquisimeto, Venezuela

autor

Ereú J.

• Departamento De Matemáticas, Universidad Centroccidental Lisandro Alvarado Barquisimeto, Venezuela

autor

Giménez J.

• Departamento De Matemáticas, Universidad De Los Andes Mérida, Venezuela

autor

Merentes N.

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

Bibliografia

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