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| Real Renormings on Complex Banach Spaces |
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Citation： |
Francisco J GARC´ IA-PACHECO,Alejandro MIRALLES.Real Renormings on Complex Banach Spaces[J].Chinese Annals of Mathematics B,2008,29(3):239~246 |
| Page view： 1172
Net amount： 744 |
Authors： |
Francisco J GARC′ IA-PACHECO; Alejandro MIRALLES |
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| Abstract： |
The authors prove that every complex Banach space admits an equivalent real norm that is far away from being a complex norm. Furthermore, this real norm can be chosen to share many properties with complex norms, but it is still not a complex norm. |
Keywords： |
Complex norms, Real norms, Hilbert space |
Classification： |
46B03, 46B20, 46B07 |
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