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A Gâteaux differentiability space that is not weak Asplund |
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| Authors: | Warren B. Moors Sivajah Somasundaram |
| Affiliation: | Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand ; Department of Mathematics, The University of Waikato, Private Bag 3105, Hamilton 2001, New Zealand |
| Abstract: | In this paper we construct a Gâteaux differentiability space that is not a weak Asplund space. Thus we answer a question raised by David Larman and Robert Phelps from 1979. |
| Keywords: | Weak Asplund space G^ateaux differentiability space Stegall space |
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