An operator satisfying Dunford's condition (C) but without bishop's property (β)

DOI10.1017/S0017089500032754zbMath0921.47004OpenAlexW2131836769MaRDI QIDQ4225493

Vivien G. Miller, Thomas Len Miller

Publication date: 30 September 1999

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500032754

zbMATH Keywords

local spectrumBishop's property \((\beta)\)local resolventdecomposition property \((\sigma)\)Dunford's condition \((C)\)

Mathematics Subject Classification ID

Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Local spectral properties of linear operators (47A11)

Related Items (5)

The single-valued extension property for sums and products of commuting operators ⋮ Local spectral properties of typical contractions on \(\ell_p\)-spaces ⋮ Some invariant subspaces for w-hyponormal operators ⋮ PF property and property \((\beta )\) for paranormal operators ⋮ Local spectral theory of endomorphisms of the disk algebra

Cites Work

• Unnamed Item
• On decomposable operators
• Local spectral properties of commutators

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