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

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

Our goal is to study the Bishop–Phelps–Bollobás property for operators from $c_0$ into a Banach space. We fi rst characterize those Banach spaces $Y$ for which the Bishop–Phelps–Bollob ás property holds for ($\ell^3_{\infty}, Y)$. Examples of spaces satisfying this condition are provided.

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Veröffentlicht in:Publications of the Research Institute for Mathematical Sciences 2015-03, Vol.51 (1), p.173-190
Hauptverfasser: Acosta, María, Becerra Guerrero, Julio, García, Domingo, Kim, Sun Kwang, Maestre, Manuel
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Banach spaces
Functional analysis
Operator theory
Transformations (Mathematics)
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Zusammenfassung:Our goal is to study the Bishop–Phelps–Bollobás property for operators from $c_0$ into a Banach space. We fi rst characterize those Banach spaces $Y$ for which the Bishop–Phelps–Bollob ás property holds for ($\ell^3_{\infty}, Y)$. Examples of spaces satisfying this condition are provided.
ISSN:0034-5318
1663-4926
DOI:10.4171/PRIMS/151