The Bishop–Phelps–Bollobás Property: a Finite-Dimensional Approach

  • María D. Acosta

    Universidad de Granada, Spain
  • Julio Becerra Guerrero

    Universidad de Granada, Spain
  • Domingo García

    Universitat de Valencia, Burjassot (Valencia), Spain
  • Sun Kwang Kim

    Kyonggi University, Suwon, South Korea
  • Manuel Maestre

    Universitat de Valencia, Burjassot (Valencia), Spain

Abstract

Our goal is to study the Bishop–Phelps–Bollobás property for operators from into a Banach space. We first characterize those Banach spaces for which the Bishop–Phelps–Bollobás property holds for (. Examples of spaces satisfying this condition are provided.

Cite this article

María D. Acosta, Julio Becerra Guerrero, Domingo García, Sun Kwang Kim, Manuel Maestre, The Bishop–Phelps–Bollobás Property: a Finite-Dimensional Approach. Publ. Res. Inst. Math. Sci. 51 (2015), no. 1, pp. 173–190

DOI 10.4171/PRIMS/151