An extension of Burnside's theorem to infinite-dimensional spaces
type: Item
instance of: scholarly article
title: An extension of Burnside's theorem to infinite-dimensional spaces
zbMATH Open document ID: 0777.47005
DOI: 10.1007/BF02776031
published in: Israel Journal of Mathematics
publication date: 1992-12-16T00:00:00Z
Mathematics Subject Classification ID: 47A15
zbMATH DE Number: 78189
zbMATH Keywords: Burnside's theorem
zbMATH Keywords: existence of invariant subspaces for a proper subalgebra of the matrix algebra
zbMATH Keywords: general Banach space
author: Victor Lomonosov
MaRDI profile type: Publication
cites work: Q4054260
cites work: The Stone-Weierstrass Theorem
cites work: Q4148368
cites work: On the invariant subspace problem for Banach spaces
cites work: A Stone-Weierstrass theorem for \(C^*\)-algebras
cites work: An invariant-subspace theorem
cites work: Q4057165
cites work: Q5686535
cites work: Properties of linear transformations preserved under addition of a completely continuous transformation
Recommended article: An infinite-dimensional version of the Borsuk-Ulam theorem
Recommended article: Q4764225
Recommended article: Infinite-dimensional extension of a theorem of Komlós
Recommended article: Q3980165
Recommended article: Borsuk-Ulam theorem in infinite-dimensional Banach spaces
Recommended article: An infinite-dimensional version of the theorem of Fortet and Kac
Recommended article: The Bolzano-Poincaré-Miranda theorem in infinite-dimensional Banach spaces
Recommended article: An infinitary extension of Jankov's theorem
Recommended article: ON EXTENSION THEOREMS IN SPACES OF INFINITELY DIFFERENTIABLE FUNCTIONS
Recommended article: An infinite-dimensional generalization of Zenger's lemma
description: scientific article; zbMATH DE number 78189