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

Sung Guen Kim | Zendy; Han Ju Lee | Zendy

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

Author(s) -

Sung Guen Kim,

Han Ju Lee

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/380475

Subject(s) - mathematics , holomorphic function , banach space , index (typography) , polynomial , eberlein–šmulian theorem , approximation property , mathematical analysis , space (punctuation) , numerical analysis , pure mathematics , lp space , linguistics , philosophy , world wide web , computer science

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

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