A Baire category theorem for the domains of iterates of a linear operator

DOI10.1216/rmjm/1181072421zbMath0807.47001OpenAlexW2078815445MaRDI QIDQ1335188

Chris Lennard

Publication date: 28 September 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072421

zbMATH Keywords

Baire's category theoremclosable and nonclosable operatorsclosed operators with empty resolvent setdensely-defined linear operatorintersection of the ranges of all its successive iteratesnonclosed operators with nonempty generalized resolvent setnonempty resolvent setself-adjoint operator on a complex Hilbert space

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (2)

On nilpotent semigroups and solutions with finite stopping time ⋮ Evolution equations of higher order in banach spaces

Cites Work

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• Operators with dense, invariant, cyclic vector manifolds
• Spectral synthesis and common cyclic vectors
• Limits of hypercyclic and supercyclic operators
• A generalization of Baire's category theorem
• Extensions of Linear Transformations

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