This is an announcement for the paper "Majorization in de Branges spaces II. Banach spaces generated by majorants" by Anton Baranov and Harald Woracek.
Abstract: This is the second part in a series dealing with subspaces of de~Branges spaces of entire function generated by majorization on subsets of the closed upper half-plane. In this part we investigate certain Banach spaces generated by admissible majorants. We study their interplay with the original de Branges space structure, and their geometry. In particular, we will show that, generically, they will be nonreflexive and nonseparable.
Archive classification: math.CV math.FA
Mathematics Subject Classification: 46E15, 46B26, 46E22
The source file(s), sprm5.tex: 84171 bytes, is(are) stored in gzipped form as 0906.2943.gz with size 23kb. The corresponding postcript file has gzipped size 145kb.
Submitted from: antonbaranov@netscape.net
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http://front.math.ucdavis.edu/0906.2943
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http://arXiv.org/abs/0906.2943
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