The spectrum of an interpolated operator and analytic multivalued functions

DOI10.2140/pjm.1986.121.445zbMath0546.46062OpenAlexW2163937718MaRDI QIDQ797814

Thomas Ransford

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.121.445

zbMATH Keywords

set-valued mapanalytic multivalued functioncomplex interpolation pairspectrum of an interpolated operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Abstract interpolation of topological vector spaces (46M35) Plurisubharmonic functions and generalizations (32U05)

Related Items (13)

Spectrum of interpolated operators ⋮ The spectra of linear fractional composition operators on weighted Dirichlet spaces ⋮ When is the spectrum of a convolution operator on L^p independent of p? ⋮ Spectral theory and complex interpolation ⋮ Compactness-like operator properties preserved by complex interpolation ⋮ Regularity of variational solutions to linear boundary value problems in Lipschitz domains ⋮ Stability of the inverses of interpolated operators with application to the Stokes system ⋮ Stability of Fredholm properties on interpolation Banach spaces ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Interpolation of Banach algebras and open sets ⋮ The spectra of closed interpolated operators ⋮ Spectra of some weighted composition operators on dual Banach spaces of analytic functions ⋮ Spectra ofL¹-convolution operators acting onL^p-spaces of commutative hypergroups

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