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The length of -algebras of -pseudodifferential operators
Author(s):
Robert
Lauter
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1955-1961.
MSC (2000):
Primary 46L85, 58G40;
Secondary 35S35, 46L80
Posted:
November 23, 1999
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Abstract:
We compute the length of the -algebra generated by the algebra of b-pseudodifferential operators of order on compact manifolds with corners.
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-algebras. In Tagungsbericht Oberwolfach 42/81 - Funktionalanalysis: -Algebren, 1981. - 4.
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-algebras of totally characteristic operators on compact manifolds with boundary. Preprint Nr. 12/97, Fachbereich Mathematik, Johannes Gutenberg-Universität Mainz, October 1997. To appear in J. Funct. Anal. - 5.
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- i - algebr psevdodifferentsial'nyh operatorov na mnogoobraziyah s vershinami. In N. N. Ural'tseva, editor, Nelineinye uravneniya s chastnymi proizvodnymi i teoriya funktsii, volume 18 of Problemy matematicheskogo analiza, pages 85-117. Sankt-Peterburgskii universitet, November 1998. in Russian. - 6.
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-algebras of b-pseudodifferential operators. Geometric and Functional Analysis, 8:88-122, 1998. CMP 98:07 - 11.
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- 15.
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Additional Information:
Robert
Lauter
Affiliation:
Fachbereich 17 - Mathematik, Universität Mainz, D-55099 Mainz, Germany
Email:
lauter@mathematik.uni-mainz.de
DOI:
10.1090/S0002-9939-99-05532-X
PII:
S 0002-9939(99)05532-X
Keywords:
Length of solvable $C^{*}$-algebras,
b-pseudodifferential operators,
manifolds with corners
Received by editor(s):
June 23, 1998
Received by editor(s) in revised form:
August 12, 1998
Posted:
November 23, 1999
Additional Notes:
This work was supported by a scholarship of the German Academic Exchange Service (DAAD) within the Hochschulsonderprogramm III von Bund und Ländern.
Communicated by:
David R. Larson
Copyright of article:
Copyright
2000,
American Mathematical Society
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