Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space
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 holomo...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/380475 |
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doaj-f955ba74c25b425d8ba47a062b55d2872020-11-24T22:32:30ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/380475380475Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach SpaceSung Guen Kim0Han Ju Lee1Department of Mathematics, Kyungpook National University, Daegu 702-701, Republic of KoreaDepartment of Mathematics Education, Dongguk University-Seoul, Seoul 100-715, Republic of KoreaThe 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.http://dx.doi.org/10.1155/2013/380475 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sung Guen Kim Han Ju Lee |
| spellingShingle |
Sung Guen Kim Han Ju Lee Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space Abstract and Applied Analysis |
| author_facet |
Sung Guen Kim Han Ju Lee |
| author_sort |
Sung Guen Kim |
| title |
Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space |
| title_short |
Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space |
| title_full |
Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space |
| title_fullStr |
Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space |
| title_full_unstemmed |
Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space |
| title_sort |
generalized numerical index and denseness of numerical peak holomorphic functions on a banach space |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2013-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2013/380475 |
| work_keys_str_mv |
AT sungguenkim generalizednumericalindexanddensenessofnumericalpeakholomorphicfunctionsonabanachspace AT hanjulee generalizednumericalindexanddensenessofnumericalpeakholomorphicfunctionsonabanachspace |
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