Spectrum of weighted composition operators part IV spectrum and essential spectra of weighted composition operators in spaces of smooth functions on [0, 1]

We provide a description of the spectrum and essential spectra of invertible weighted composition operators acting in spaces C ( n ) [ 0 , 1 ] and Sobolev spaces W n , X = { f ∈ C ( n - 1 ) [ 0 , 1 ] : f ( n ) ∈ X } where X is an interpolation space between L 1 [ 0 , 1 ] and L ∞ [ 0 , 1 ] .

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Bibliographic Details
Published in:	Positivity : an international journal devoted to the theory and applications of positivity in analysis Vol. 21; no. 3; pp. 989 - 1014
Main Author:	Kitover, A. K.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.09.2017 Springer Nature B.V
Subjects:	Calculus of Variations and Optimal Control; Optimization Econometrics Fourier Analysis Interpolation Mathematics Mathematics and Statistics Operator Theory Operators (mathematics) Potential Theory Sobolev space Fredholm spectrum Disjointness preserving operators Secondary 47B48 Primary 47B33 46B60 Essential spectra Spectrum
ISSN:	1385-1292, 1572-9281
Online Access:	Get full text
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