A+ CATEGORY SCIENTIFIC UNIT

Automatic continuity of biseparating maps

Volume 155 / 2003

Jesús Araujo, Krzysztof Jarosz Studia Mathematica 155 (2003), 231-239 MSC: Primary 47B33; Secondary 46H40, 47B38, 46E40, 46E25. DOI: 10.4064/sm155-3-3

Abstract

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.

Authors

  • Jesús AraujoDepartamento de Matemáticas
    Estadística y Computación
    Facultad de Ciencias
    Universidad de Cantabria
    Avda. de los Castros, s. n.
    E-39071 Santander, Spain
    e-mail
  • Krzysztof JaroszDepartment of Mathematics and Statistics
    Southern Illinois University
    Edwardsville, IL 62026, U.S.A.
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image