Nontrivial expansions of zero absolutely representing systems
type: Item
instance of: scholarly article
title: Nontrivial expansions of zero absolutely representing systems
zbMATH Open document ID: 0890.46002
DOI: 10.1007/BF02304161
published in: Mathematical Notes
publication date: 1996-02-21T00:00:00Z
review text: The author introduces a method for constructing a sequence \(\{e(\lambda_k)\}_{k=1}^\infty\) in a Fréchet space \(F\) (where for each \(\lambda\in\mathbb{C}\) the vector \(e(\lambda)\) spans a one-dimensional subspace of solutions to an operator equation \(My= \lambda y)\) with the property that every element in \(F\) has an absolutely convergent expansion of the form \(\sum_{k=1}^\infty c_k e(\lambda k)\).
Mathematics Subject Classification ID: 46A35
zbMATH DE Number: 846511
zbMATH Keywords: Fréchet space
zbMATH Keywords: absolutely convergent expansion
author: Alexander V. Abanin
reviewed by: James R. Holub
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 846511