Uniformly Continuous Superposition Operators In The Space Of Functions Of Bounded n-Dimensional Φ-Variation

Demonstratio mathematica

article

Mireya Bracamonte¹  Jurancy Ereú¹  José Giménez²  Nelson Merentes³ 

[1] DEPARTAMENTO DE MATEMÁTICAS UNIVERSIDAD CENTROCCIDENTAL LISANDRO ALVARADO;DEPARTAMENTO DE MATEMÁTICAS UNIVERSIDAD DE LOS ANDES;ESCUELA DE MATEMÁTICAS UNIVERSIDAD CENTRAL DE VENEZUELA

关键词: superposition operator;    bounded Φ -variation;    metric semigroup;   

DOI  :  10.2478/dema-2014-0005

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY