Details
| Original language | English |
|---|---|
| Pages (from-to) | 3679-3687 |
| Number of pages | 9 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 125 |
| Issue number | 12 |
| Publication status | Published - Dec 1997 |
| Externally published | Yes |
Abstract
We show that the spectra of the Lp-realizations for a class of hypoelliptic (pseudo-)differential operators are independent of p in an interval around p = 2 depending on the growth properties of the symbol. For elliptic operators we obtain the classical boundedness interval of Fefferman; in the general case we obtain a smaller interval which is as large as one can possibly expect it to be.
Keywords
- Hypoelliptic pseudodifferential operators, L-spectrum, Spectral independence
ASJC Scopus subject areas
- Mathematics(all)
- Mathematics(all)
- Applied Mathematics
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In: Proceedings of the American Mathematical Society, Vol. 125, No. 12, 12.1997, p. 3679-3687.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Invariance of the lp spectrum for hypoelliptic operators
AU - Leopold, Hans Gerd
AU - Schrohe, Elmar
N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 1997/12
Y1 - 1997/12
N2 - We show that the spectra of the Lp-realizations for a class of hypoelliptic (pseudo-)differential operators are independent of p in an interval around p = 2 depending on the growth properties of the symbol. For elliptic operators we obtain the classical boundedness interval of Fefferman; in the general case we obtain a smaller interval which is as large as one can possibly expect it to be.
AB - We show that the spectra of the Lp-realizations for a class of hypoelliptic (pseudo-)differential operators are independent of p in an interval around p = 2 depending on the growth properties of the symbol. For elliptic operators we obtain the classical boundedness interval of Fefferman; in the general case we obtain a smaller interval which is as large as one can possibly expect it to be.
KW - Hypoelliptic pseudodifferential operators
KW - L-spectrum
KW - Spectral independence
UR - http://www.scopus.com/inward/record.url?scp=21944452454&partnerID=8YFLogxK
U2 - 10.1090/s0002-9939-97-04123-3
DO - 10.1090/s0002-9939-97-04123-3
M3 - Article
AN - SCOPUS:21944452454
VL - 125
SP - 3679
EP - 3687
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 12
ER -