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On the Bishop-Phelps-Bollobás Property for Numerical Radius

dc.contributor.authorKim, Sun Kwang
dc.contributor.authorLee, Han Ju
dc.contributor.authorMartín Suárez, Miguel 
dc.date.accessioned2014-05-23T11:18:47Z
dc.date.available2014-05-23T11:18:47Z
dc.date.issued2014
dc.identifier.citationKim, S.K.; Lee, H.J.; Martín, M. On the Bishop-Phelps-Bollobás Property for Numerical Radius. Abstract and Applied Analysis, 2014: 479208 (2014). [http://hdl.handle.net/10481/31887]es_ES
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.urihttp://hdl.handle.net/10481/31887
dc.description.abstractWe study the Bishop-Phelps-Bollobás property for numerical radius (in short, BPBp-nu) and find sufficient conditions for Banach spaces to ensure the BPBp-nu. Among other results, we show that -spaces have this property for every measure μ. On the other hand, we show that every infinite-dimensional separable Banach space can be renormed to fail the BPBp-nu. In particular, this shows that the Radon-Nikodým property (even reflexivity) is not enough to get BPBp-nu.es_ES
dc.description.sponsorshipThe second author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2012R1A1A1006869). The third author was partially supported by Spanish MICINN and FEDER project no. MTM2012-31755 and by Junta de Andalucía and FEDER Grants FQM-185 and P09-FQM-4911.es_ES
dc.language.isoenges_ES
dc.publisherHindawi Publishing Corporationes_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Licensees_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es_ES
dc.subjectAttaining operatorses_ES
dc.subjectHolomorphic functionses_ES
dc.subjectSpaceses_ES
dc.subjectPolynomials es_ES
dc.subjectDensenesses_ES
dc.subjectIndexes_ES
dc.subjectNormes_ES
dc.titleOn the Bishop-Phelps-Bollobás Property for Numerical Radiuses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1155/2014/479208


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