A new proof of a lemma by Phelps
We give a different proof of a lemma by Phelps (1960) which asserts, roughly speaking, that if two norm-one functionals f and g have their hyperplanes f−1(0) and g−1(0) sufficiently close together, then either ‖f−g‖ or ‖f+g‖ must be small. We also extend this result to a complex Banach space....
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/28063 |