Automatic continuity of biseparating maps

• Autorzy: Jesús Araujo , Krzysztof Jarosz
• Języki publikacji: EN

Abstrakty

EN

We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when this is not true.

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 47B38: Operators on function spaces (general)
• 46H40: Automatic continuity
• 46E25: Rings and algebras of continuous, differentiable or analytic functions
• 47B33: Composition operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 155
• Numer: 3
• Strony: 231-239

Daty

wydano

2003

Twórcy

autor

Jesús Araujo

• Departamento de Matemáticas, Estadística y Computación, Facultad de Ciencias, Universidad de Cantabria, Avda. de los Castros, s. n., E-39071 Santander, Spain

autor

Krzysztof Jarosz

• Department of Mathematics and Statistics, Southern Illinois University, Edwardsville, IL 62026, U.S.A.

Identyfikatory

DOI

10.4064/sm155-3-3