On invariant subspaces of Volterra-type operators

DOI10.1007/BF01195741zbMath0904.47021OpenAlexW2062799255MaRDI QIDQ1378065

Roman Drnovšek

Publication date: 4 March 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195741

zbMATH Keywords

Banach function space\(L^p\)-spacesorder continuousVolterra integration operatorlattice of closed, invariant subspaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38) Positive linear operators and order-bounded operators (47B65)

Cites Work

• The lattice of invariant subspaces of a completely continuous quasinilpotent transformation
• A functional analysis proof of Titchmarsh's theorem on convolution
• Quasispectral subspaces of quasinilpotent operators
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