The Banach Algebra of Bounded ϕ-Variation Functions on Compact Subsets of ℂ
Abstract:
A concept of generalized bounded ϕ−variation for complex-valued functions is introduced. We prove that the space of functions of this kind is a Banach algebra with respect to pointwise multiplication. Previously, its properties were shown and the Minkowski functional was used to provide this class of functions with a norm that makes it a Banach space. In addition, some maximal ideals are described.
Año de publicación:
2021
Keywords:
- φ-variation
- Ideal
- bounded variation
- Banach algebra
Fuente:
scopusTipo de documento:
Article
Estado:
Acceso restringido
Áreas de conocimiento:
- Espacio de Banach
- Desconocido
- Filosofía de las matemáticas
Áreas temáticas de Dewey:
- Álgebra
- Análisis
- Aritmética
Procesado con IAObjetivos de Desarrollo Sostenible:
- ODS 4: Educación de calidad
- ODS 8: Trabajo decente y crecimiento económico
- ODS 9: Industria, innovación e infraestructura
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