On nicely smooth Banach spaces.
Pradipta Bandyopadhyay, Sudeshna Basu (2001)
Extracta Mathematicae
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Pradipta Bandyopadhyay, Sudeshna Basu (2001)
Extracta Mathematicae
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M. Isabel Garrido, Jesús A. Jaramillo (2002)
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Plichko, Anatolij (1997)
Serdica Mathematical Journal
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* This paper was supported in part by the Bulgarian Ministry of Education, Science and Technologies under contract MM-506/95. The main results of the paper are: Theorem 1. Let a Banach space E be decomposed into a direct sum of separable and reflexive subspaces. Then for every Hausdorff locally convex topological vector space Z and for every linear continuous bijective operator T : E → Z, the inverse T^(−1) is a Borel map. Theorem 2. Let us assume the continuum hypothesis....
M. Fabian, V. Zizler (2001)
Extracta Mathematicae
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P. Bandyopadhyay, S. Basu, S. Dutta, B.-L. Lin (2003)
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E. Odell (2004)
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Tomáš Hejda, Zuzana Masáková, Edita Pelantová (2013)
Kybernetika
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We consider positional numeration systems with negative real base , where , and study the extremal representations in these systems, called here the greedy and lazy representations. We give algorithms for determination of minimal and maximal -representation with respect to the alternate order. We also show that both extremal representations can be obtained as representations in the positive base with a non-integer alphabet. This enables us to characterize digit sequences admissible...
Nirova, M.S. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Abdelhakim Maaden (2001)
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