Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space

Sung Guen Kim and Han Ju Lee

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

The generalized numerical index of a Banach space is introduced, and its properties on certain Banach spaces are studied. Ed-dari's theorem on the numerical index is extended to the generalized index and polynomial numerical index of a Banach space. The denseness of numerical strong peak holomorphic functions is also studied.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:380475

DOI: 10.1155/2013/380475

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