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Paper   IPM / M / 15578
School of Mathematics
  Title:   Characterization of Banach spaces Y satisfying that the pair (l4, Y) has the Bishop-Phelps-Bollobas property for operators
  Author(s):  Maryam Soleimani-Mourchehkhorti (Joint with M. D. Acosta and J. L. Davila)
  Status:   Published
  Journal: J. Math. Anal. Appl.
  Vol.:  470
  Year:  2019
  Pages:   690-715
  Supported by:  IPM
We study the Bishop-Phelps-Bollobás property for operators from �??4�?? to a Banach space. For this reason we introduce an appropiate geometric property, namely the AHSp-�??4�??. We prove that spaces Ysatisfying AHSp-�??4�?? are precisely those spaces Y such that (�??4�??,Y) has the Bishop-Phelps-Bollobás property. We also provide classes of Banach spaces satisfying this condition. For instance, finite-dimensional spaces, uniformly convex spaces, C0(L) and L1(μ) satisfy AHSp-�??4�??.

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