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

Marı́a D. Acosta | Zendy; Julio Becerra Guerrero | Zendy; Domingo Garcı́a | Zendy; Sun Kwang Kim | Zendy; Manuel Maestre | Zendy

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

Author(s) -

Marı́a D. Acosta,

Julio Becerra Guerrero,

Domingo Garcı́a,

Sun Kwang Kim,

Manuel Maestre

Publication year - 2015

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.4171/prims/151

Subject(s) - mathematics , property (philosophy) , discrete mathematics , calculus (dental) , epistemology , philosophy , medicine , dentistry

Our goal is to study the Bishop–Phelps–Bollobás property for operators from c0 into a Banach space. We first characterize those Banach spaces Y for which the Bishop– Phelps–Bollobás property holds for (`∞, Y ). Examples of spaces satisfying this condition are provided. 2010 Mathematics Subject Classification: Primary 46B20; Secondary 46B28, 47B99.

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