Majorization in de Branges spaces II. Banach spaces generated by majorants

• Autores: Anton D. Baranov, Harald Woracek
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 62, Fasc. 1, 2011, págs. 27-55
• Idioma: español
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• Resumen

  • This is the second part in a series dealing with subspaces of de Branges spaces of entire functions 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.