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 ] .
Gespeichert in:
| Veröffentlicht in: | Positivity : an international journal devoted to the theory and applications of positivity in analysis Jg. 21; H. 3; S. 989 - 1014 |
|---|---|
| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham
Springer International Publishing
01.09.2017
Springer Nature B.V |
| Schlagworte: | |
| ISSN: | 1385-1292, 1572-9281 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | 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
]
. |
|---|---|
| Bibliographie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1385-1292 1572-9281 |
| DOI: | 10.1007/s11117-016-0448-7 |