Hyponormal operators with thick spectra have invariant subspaces

DOI10.2307/1971289zbMath0635.47020OpenAlexW2156746065MaRDI QIDQ1097492

Scott W. Brown

Publication date: 1987

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971289

zbMATH Keywords

invariant subspacehyponormal operatordecomposable but not unconditionally decomposable

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15)

Related Items (45)

Scott Brown's techniques for perturbations of decomposable operators ⋮ A new method for constructing invariant subspaces ⋮ Rota's universal operators and invariant subspaces in Hilbert spaces ⋮ Remarks on nearly equivalent operators ⋮ On quasinilpotent operators ⋮ Subscalarity of operator transforms ⋮ The local spectral properties of extended Hamilton operators ⋮ Invariant subspaces for subscalar operators ⋮ Hyponormality of finite rank perturbations of normal operators ⋮ Local spectral properties of typical contractions on \(\ell_p\)-spaces ⋮ \(p\)-quasihyponormal operators have scalar extensions of order 6 ⋮ \(k\)-quasihyponormal operators are subscalar ⋮ Operator equations and subscalarity ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ On analytic roots of hyponormal operators ⋮ On subscalarity of some \(2 \times 2\) class \(A\) operator matrices ⋮ Generalized spherical Aluthge transforms and binormality for commuting pairs of operators ⋮ Jörg Eschmeier's mathematical work ⋮ Subscalarity for extension of totally polynomially posinormal operators ⋮ Decomposability, past and present ⋮ Invariant subspaces for polynomially hyponormal operators ⋮ On subscalarity of some \(2 \times 2\) \(M\)-hyponormal operator matrices ⋮ Invariant subspaces for operators with Bishop's property \((\beta{})\) and thick spectrum ⋮ Invariant subspaces for bounded operators with large localizable spectrum ⋮ Triangular n-isometric operators ⋮ Von Neumann operators are reflexive ⋮ Recurrent linear operators ⋮ On invariant subspaces of subdecomposable operators ⋮ A closer look at Bishop operators ⋮ Subscalarity, invariant, and hyperinvariant subspaces for upper triangular operator matrices ⋮ Subscalarity of \((p,k)\)-quasihyponormal operators ⋮ Invariant subspaces for sequentially subdecomposable operators ⋮ On invariant subspaces of operators in the class \(\theta \) ⋮ Invariant subspaces for operators whose spectra are Carathéodory regions ⋮ On totally *-paranormal operators ⋮ Invariant subspaces of operator algebras ⋮ On scalar extensions and spectral decompositions of complex symmetric operators ⋮ An invariant subspace theorem on subdecomposable operators ⋮ Unnamed Item ⋮ Quasi-compactness of linear operators on Banach spaces: New properties and application to Markov chains ⋮ \(k\)-spectral sets and invariant subspaces ⋮ Aluthge transforms of operators ⋮ Analytic extension of n-normal operators ⋮ Solvability and different solutions of the operator equation \(XAX=BX\) ⋮ Invariant subspaces and localizable spectrum

This page was built for publication: Hyponormal operators with thick spectra have invariant subspaces