A basis of R-n with good isometric properties and some applications to denseness of norm attaining operators

摘要

We characterize real Banach spaces Y such that the pair (l(infinity)(n), Y) has the Bishop-Phelps-Bollobas property for operators. To this purpose it is essential using an appropriate basis of the domain space R-n. As a consequence of the mentioned characterization, we provide examples of spaces Y satisfying such property. For instance, finite-dimensional spaces, uniformly convex spaces, uniform algebras and L-1 (mu) (mu a positive measure) satisfy the previous property. (C) 2020 Elsevier Inc. All rights reserved.