Joint local quasinilpotence and common invariant subspaces
type: Item
instance of: scholarly article
title: Joint local quasinilpotence and common invariant subspaces
zbMATH Open document ID: 1110.47004
DOI: 10.1007/BF02829748
author: N. E. Zubov
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2006-11-29T00:00:00Z
review text: The author proves the existence of a common nontrivial invariant subspace for a tuple of (not necessarily commuting) operators on Banach spaces with a Schauder basis under the additional assumptions of joint local quasinilpotence and positivity.
reviewed by: Vladimir S. Pilidi
Mathematics Subject Classification ID: 47A15
Mathematics Subject Classification ID: 47B65
Mathematics Subject Classification ID: 47A13
zbMATH DE Number: 5076697
zbMATH Keywords: joint local quasinilpotence
zbMATH Keywords: common invariant subspace
zbMATH Keywords: positive operator
MaRDI profile type: Publication
cites work: Invariant subspace theorems for positive operators
cites work: Q4283116
cites work: Common non supercyclic vectors for commuting contractions
cites work: Common non-trivial invariant closed cones for commuting contractions
cites work: On common invariant subspaces for commuting contractions with rich spectrum
cites work: On the existence of invariant subspaces and reflexivity of \(N\)-tuples of operators
cites work: Q3272731
full work available at URL: https://doi.org/10.1007/bf02829748
OpenAlex ID: W2088447172
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description: scientific article; zbMATH DE number 5076697