The best possibility of the bound for the Kantrovich inequality and some remarks
The necessary and sufficient condition for equality to be attaind in the Kantrovich inequality is given and applied to an inequality of normal operators on Hilbert spaces.
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| Format: | Article |
| Language: | English |
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SpringerOpen
1997-01-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://dx.doi.org/10.1155/S1025583497000222 |
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doaj-bf803f5ecc9d4e74951592e90fcf364d |
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Article |
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doaj-bf803f5ecc9d4e74951592e90fcf364d2020-11-25T00:56:47ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1997-01-011432733410.1155/S1025583497000222The best possibility of the bound for the Kantrovich inequality and some remarksSin-El TakahasiM. TsukadaThe necessary and sufficient condition for equality to be attaind in the Kantrovich inequality is given and applied to an inequality of normal operators on Hilbert spaces.http://dx.doi.org/10.1155/S1025583497000222Kantrovich inequality; Schwarz inequality; conditional expectation; normal operator. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sin-El Takahasi M. Tsukada |
| spellingShingle |
Sin-El Takahasi M. Tsukada The best possibility of the bound for the Kantrovich inequality and some remarks Journal of Inequalities and Applications Kantrovich inequality; Schwarz inequality; conditional expectation; normal operator. |
| author_facet |
Sin-El Takahasi M. Tsukada |
| author_sort |
Sin-El Takahasi |
| title |
The best possibility of the bound for the Kantrovich inequality and some remarks |
| title_short |
The best possibility of the bound for the Kantrovich inequality and some remarks |
| title_full |
The best possibility of the bound for the Kantrovich inequality and some remarks |
| title_fullStr |
The best possibility of the bound for the Kantrovich inequality and some remarks |
| title_full_unstemmed |
The best possibility of the bound for the Kantrovich inequality and some remarks |
| title_sort |
best possibility of the bound for the kantrovich inequality and some remarks |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
1997-01-01 |
| description |
The necessary and sufficient condition for equality to be attaind in the Kantrovich inequality is given and applied to an inequality of normal operators on Hilbert spaces. |
| topic |
Kantrovich inequality; Schwarz inequality; conditional expectation; normal operator. |
| url |
http://dx.doi.org/10.1155/S1025583497000222 |
| work_keys_str_mv |
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| _version_ |
1725225505201848320 |