Abstract

Abstract.For a given de Branges space ℋ (E ) we investigate de Branges subspaces defined in terms of majorants on the real axis. If ω is a nonnegative function on ℝ, we consider the subspaceWe show that ℛω (E ) is a de Branges subspace and describe all subspaces of this form. Moreover, we give a criterion for the existence of positive minimal majorants.

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