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Toeplitz operators on strongly pseudoconvex domains in Stein spaces. (English) Zbl 0382.47012


MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
32E10 Stein spaces
32A38 Algebras of holomorphic functions of several complex variables
32T99 Pseudoconvex domains
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
47L30 Abstract operator algebras on Hilbert spaces
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References:

[1] M. B. ABRAHAMSE, Toeplitz operators in multiply connected regions, Amer. J. Math., 96 (1974), 261-297. JSTOR: · Zbl 0302.47025 · doi:10.2307/2373633
[2] M. F. ATIYAH, Global theory of elliptic operators, Proc. International Conf on Functional Analysis and Related Topics, 1969. Tokyo (1970), 21-30. · Zbl 0193.43601
[3] H. BEHNKE AND K. STEIN, Entwicklung analytischer Funktionen auf Riemannschen Flachen, Math. Ann., 120 (1949), 430-461. · Zbl 0038.23502 · doi:10.1007/BF01447838
[4] L. G. BROWN, R. G. DOUGLAS AND P. A. FILLMORE, Unitary equivlarence modulo th compact operators and extensions of C*-algebras, Proc. of a Conf. on Operator Theory, Lecture Notes in Math. 345, Springer-Verlag, 1973. · Zbl 0277.46053
[5] J. BUNCE, The joint spectrum of commuting nonnormal operators, Proc. Amer. Math Soc., 29 (1971), 499-505. JSTOR: · Zbl 0215.20903 · doi:10.2307/2038586
[6] L. A. COBURN, Singular integral operators and Toeplitz operators on odd spheres, Indian Univ. Math. J., 23 (1973), 433-439. · Zbl 0271.46052 · doi:10.1512/iumj.1973.23.23036
[7] J. DIXMIER, Les C*-algebres et leurs representations, Cahier Scientifiques, 29, Gauthier Villars, Paris, 1964.
[8] R. G. DOUGLAS, Banach algebra techniques in operator theory, Academic Press, Ne York, 1972. · Zbl 0247.47001
[9] R. G. DOUGLAS, Banach algebra techniques in the theory of Toeplitz operators, Regiona Conferences series in math. 15, Amer. Math. Soc., 1972. · Zbl 0252.47025
[10] G. B. FOLLAND–J. J. KOHN, The Neumann Problem for Cauchy-Riemann Complex, Annal of math, studies, 75 (1972). · Zbl 0247.35093
[11] R. C. GUNNING AND H. Rossi, Analytic functions of several complex variables, Prentice Hall, Englewood Cliffs, N. J., 1965. · Zbl 0141.08601
[12] H. HIRONAKA, Desingularization of complex-analytic varieties.Actes, Congres Intern Math. 1970, Tome 2, (1971) 627-631. · Zbl 0231.32007
[13] J. JANAS, Toeplitz operators related to certain domains in Cn, Studia Math., 54 (1975), 73-79. · Zbl 0337.47016
[14] L. K. KODAMA, Boundary measures of analytic differentials and uniform approximatio on a Riemann surface, Pacific J. Math., 15 (1965), 1261-1277. · Zbl 0136.06703 · doi:10.2140/pjm.1965.15.1261
[15] H. Rossi, Attaching analytic spaces along a pseudoconcave boundary, Proc. Conf. o Complex Analysis, Springer-Verlag, New York (1965) 242-256. · Zbl 0143.30301
[16] K. UENO, Classification theory of algebraic varieties and compact complex spaces, Lectur notes in math. 439, Springer-Verlag, 1975. · Zbl 0299.14007
[17] U. VENUGOPALKRISHNA, Fredholm operators associated with strongly pseudoconvexdomain in Cn, J. Functional Analysis, 9 (1972), 349-373. · Zbl 0241.47023 · doi:10.1016/0022-1236(72)90007-9
[18] K. YABUTA, A remark to a paper of JANAS: Toeplitz operators related to certai domains in Cn, to appear in Studia Math. Zentralblatt MATH: · Zbl 0378.47014
[19] W. ZELAZKO, On a problem concerning joint approximate point spectra, Studia Math., 45 (1973), 239-240. · Zbl 0256.47002
[20] J. TOMIYAMA AND K. YABUTA, Toeplitz operators for uniform algebras, Thoku Math J., 30 (1978), 117-129. · Zbl 0382.46025 · doi:10.2748/tmj/1178230102
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