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Toeplitz operators and solvable $C^*$-algebras on Hermitian symmetric spaces
Author(s):
Harald
Upmeier
Journal:
Bull. Amer. Math. Soc.
11
(1984),
329-332.
MSC (1980):
Primary 47B35, 47C15;
Secondary 32M15, 17C20
MathSciNet review:
752791
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Additional information
References:
- 1.
- C. A. Berger, L. A. Coburn and A. Korányi, Opérateurs de Wiener-Hopf sur les sphères de Lie, C. R. Acad. Sci. Paris 290 (1980), 989-991. MR 584284
- 2.
- L. A. Coburn, Singular integral operators and Toeplitz operators on odd spheres, Indiana Univ. Math. J. 23 (1973), 433-439. MR 322595
- 3.
- A. Dynin, Inversion problem for singular integral operators: C*-approach, Proc. Nat. Acad. Sci. U.S.A. 75 (1978), 4668-4670. MR 507929
- 4.
- A. Dynin, Multivariable Wiener-Hopf and Toeplitz operators (preprint).
- 5.
- K. D. Johnson, On a ring of invariant polynomials on a hermitian symmetric space, J. Algebra 67 (1980), 72-81. MR 595020
- 6.
- B. Kostant and S. Rallis, Orbits and representations associated with symmetric spaces, Amer. J. Math. 93 (1971), 753-809. MR 311837
- 7.
- O. Loos, Bounded symmetric domains and Jordan pairs, Univ. of California, Irvine, 1977.
- 8.
- P. S. Muhly and J. N. Renault, C*-algebras of multivariable Wiener-Hopf operators, Trans. Amer. Math. Soc. 274 (1982), 1-44. MR 670916
- 9.
- W. Schmid, Die Randwerte holomorpher Funktionen auf herrniteschen symmetrischen Räumen, Invent. Math. 9 (1969), 61-80. MR 259164
- 10.
- H. Upmeier, Jordan algebras and harmonic analysis on symmetric spaces, Amer. J. Math, (to appear). MR 821311
- 11.
- H. Upmeier, Toeplitz operators on bounded symmetric domains, Trans. Amer. Math. Soc. 280 (1983), 221-237. MR 712257
- 12.
- H. Upmeier, Toeplitz C*-algebras on bounded symmetric domains, Ann. of Math, (to appear). MR 744863
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Additional Information:
DOI:
10.1090/S0273-0979-1984-15295-9
PII:
S 0273-0979(1984)15295-9
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