Generalized numerical index and denseness of numerical peak holomorphic functions on a banach space

Sung Guen Kim; Han Ju Lee

doi:10.1155/2013/380475

Generalized numerical index and denseness of numerical peak holomorphic functions on a banach space

Sung Guen Kim
, Han Ju Lee

Department of Mathematics Education

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	380475
Journal	Abstract and Applied Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/380475
State	Published - 2013

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title = "Generalized numerical index and denseness of numerical peak holomorphic functions on a banach space",

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.",

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Generalized numerical index and denseness of numerical peak holomorphic functions on a banach space

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