Universidad de Granada Digibug
 

Repositorio Institucional de la Universidad de Granada >
1.-Investigación >
Departamentos, Grupos de Investigación e Institutos >
Departamento de Análisis Matemático >
DAM - Artículos >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/31887

Title: On the Bishop-Phelps-Bollobás Property for Numerical Radius
Authors: Kim, Sun Kwang
Lee, Han Ju
Martín Suárez, Miguel
Issue Date: 2014
Abstract: We 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.
Sponsorship: The 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.
Publisher: Hindawi Publishing Corporation
Keywords: Attaining operators
Holomorphic functions
Spaces
Polynomials
Denseness
Index
Norm
URI: http://hdl.handle.net/10481/31887
ISSN: 1085-3375
1687-0409
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: Kim, 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]
Appears in Collections:DAM - Artículos

Files in This Item:

File Description SizeFormat
Kim_NumericalRadius.pdf1.98 MBAdobe PDFView/Open
Recommend this item

This item is licensed under a Creative Commons License
Creative Commons

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0! OpenAire compliant DSpace Software Copyright © 2002-2007 MIT and Hewlett-Packard - Feedback

© Universidad de Granada