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Alexandroff's Double Arrow Compact Space and Approximation Theory |
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| Authors: | Vlasov L. P. |
| Affiliation: | (1) Ural Division, Russian Academy of Sciences, Institute of Mathematics and Mechanics, Russia |
| Abstract: | A compact space Q similar to the compact space known as Alexandroff's double arrow space is constructed. It is shown that the real space C(Q) has no Chebyshev subspaces of codimension >1, but the complex space C(Q) has such subspaces. |
| Keywords: | Chebyshev subspace of finite codimension function space complex function space the double arrow space Radon--Nikodym derivative |
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