An extension of Burnside's theorem to infinite-dimensional spaces
From MaRDI portal
Publication:1196319
DOI10.1007/BF02776031zbMath0777.47005MaRDI QIDQ1196319
Publication date: 16 December 1992
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Burnside's theoremexistence of invariant subspaces for a proper subalgebra of the matrix algebrageneral Banach space
Related Items (17)
A new method for constructing invariant subspaces ⋮ A generalization of Lomonosov’s inequality and its applications to invariant subspaces ⋮ On quasinilpotent operators ⋮ Some open problems and conjectures associated with the invariant subspace problem ⋮ Invariant subspaces for commuting operators on a real Banach space ⋮ A general approach to Read's type constructions of operators without non-trivial invariant closed subspaces ⋮ On a theorem of S. Brown and V. Lomonosov ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Applications of fixed point theorems in the theory of invariant subspaces ⋮ SOME OBSERVATIONS ABOUT THE SPACE OF WEAKLY CONTINUOUS FUNCTIONS FROM A COMPACT SPACE INTO A BANACH SPACE ⋮ A NOTE ON WEAKLY CONTINUOUS BANACH SPACE VALUED FUNCTIONS ⋮ An Extension of Lomonosov’s Techniques to Non-compact Operators ⋮ Positive functionals on general operator algebras ⋮ Operators $\alpha $-commuting with a compact operator ⋮ On quasinilpotent Operators, II ⋮ Transitivity and structure of operator algebras with a metric property ⋮ A version of Lomonosov’s theorem for collections of positive operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Stone-Weierstrass theorem for \(C^*\)-algebras
- On the invariant subspace problem for Banach spaces
- An invariant-subspace theorem
- Properties of linear transformations preserved under addition of a completely continuous transformation
- The Stone-Weierstrass Theorem
This page was built for publication: An extension of Burnside's theorem to infinite-dimensional spaces
