Invariant subspaces for tridiagonal operators.
type: Item
instance of: scholarly article
title: Invariant subspaces for tridiagonal operators.
zbMATH Open document ID: 1042.47004
DOI: 10.1016/S0007-4497(02)01137-5
author: Sophie Grivaux
published in: Bulletin des Sciences Mathématiques
publication date: 2003-03-23T00:00:00Z
review text: In this paper, the author obtains a non-trivial invariant closed subspace for a ``tridiagonal operator'' on a Banach space of complex sequences indexed by the natural numbers \(\mathbb{N}\) with the canonical basis \((\delta_{n})_{n \geq 1}\). It extends a result of \textit{A. Atzmon} who proved in [J. Funct. Anal. 178, 372--380 (2000; Zbl 0978.47022)] that every bishift on a sequence space has a nontrivial invariant subspace.
reviewed by: Ömer Gök
Mathematics Subject Classification ID: 47A15
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 47B36
Mathematics Subject Classification ID: 47B37
zbMATH DE Number: 1886877
zbMATH Keywords: invariant subspaces
zbMATH Keywords: moment pairs
zbMATH Keywords: tridiagonal operators
zbMATH Keywords: bishift
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1886877