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Publications in Scientific Journals:

A. Baranov, H. Woracek:
"Majorization in de Branges spaces II. Banach spaces generated by majorants";
Collectanea Mathematica, 1 (2011), 62.



English abstract:
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

Keywords:
de Branges subspace · Majorant · Banach space


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s13348-010-0003-y


Created from the Publication Database of the Vienna University of Technology.