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The annulus as a K-spectral set
| 1. | Institut de Recherche Mathématique de Rennes, UMR no. 6625, Université de Rennes 1, Campus de Beaulieu, 35042 RENNES Cedex |
References:
| [1] |
K. Okubo and T. Ando, Constants related to operators of class $C_\rho$, Manuscripta Math., 16 (1975), 385-394.
doi: 10.1007/BF01323467. |
| [2] |
C. Badea, B. Beckermann and M. Crouzeix, Intersections of several disks of the Riemann sphere as $K$-spectral sets, Com. Pure Appl. Anal., 8 (2009), 37-54. |
| [3] |
W. F. Donoghue, On a problem of Nieminen, Inst. Hautes Etudes Sci. Publ. Math., 16 (1963), 31-33.
doi: 10.1007/BF02684290. |
| [4] |
R. G. Douglas and V. I. Paulsen, Completely bounded maps and hypo-Dirichlet algebras, Acta Sci. Math. (Szeged), 50 (1986), 143-157. |
| [5] |
J. von Neumann, Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes, Math. Nachr., 4 (1951), 258-281. |
| [6] |
V. I. Paulsen, Toward a theory of $K$-spectral sets, in "Surveys of Some Recent Results in Operator Theory,'' Vol. I, 221-240, Pitman Res. Notes Math. Ser., 171, Longman Sci. Tech., Harlow, 1988. |
| [7] |
V. I. Paulsen, "Completely Bounded Maps and Operator Algebras,'' Cambridge Studies in Advanced Mathematics, 78. Cambridge University Press, Cambridge, 2002. |
| [8] |
V. I. Paulsen and D. Singh, Extensions of Bohr's inequality, Bull. London Math. Soc., 38 (2006), 991-999.
doi: 10.1112/S0024609306019084. |
| [9] |
A. L. Shields, Weighted shift operators and analytic function theory, in "Topics in Operator Theory," pp. 49-128. Math. Surveys, No. 13, Amer. Math. Soc., Providence, R.I., 1974. |
| [10] |
J. G. Stampfli, Minimal range theorems for operators with thin spectra, Pacific Journal of Math., 23 (1967), 601-612. |
show all references
References:
| [1] |
K. Okubo and T. Ando, Constants related to operators of class $C_\rho$, Manuscripta Math., 16 (1975), 385-394.
doi: 10.1007/BF01323467. |
| [2] |
C. Badea, B. Beckermann and M. Crouzeix, Intersections of several disks of the Riemann sphere as $K$-spectral sets, Com. Pure Appl. Anal., 8 (2009), 37-54. |
| [3] |
W. F. Donoghue, On a problem of Nieminen, Inst. Hautes Etudes Sci. Publ. Math., 16 (1963), 31-33.
doi: 10.1007/BF02684290. |
| [4] |
R. G. Douglas and V. I. Paulsen, Completely bounded maps and hypo-Dirichlet algebras, Acta Sci. Math. (Szeged), 50 (1986), 143-157. |
| [5] |
J. von Neumann, Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes, Math. Nachr., 4 (1951), 258-281. |
| [6] |
V. I. Paulsen, Toward a theory of $K$-spectral sets, in "Surveys of Some Recent Results in Operator Theory,'' Vol. I, 221-240, Pitman Res. Notes Math. Ser., 171, Longman Sci. Tech., Harlow, 1988. |
| [7] |
V. I. Paulsen, "Completely Bounded Maps and Operator Algebras,'' Cambridge Studies in Advanced Mathematics, 78. Cambridge University Press, Cambridge, 2002. |
| [8] |
V. I. Paulsen and D. Singh, Extensions of Bohr's inequality, Bull. London Math. Soc., 38 (2006), 991-999.
doi: 10.1112/S0024609306019084. |
| [9] |
A. L. Shields, Weighted shift operators and analytic function theory, in "Topics in Operator Theory," pp. 49-128. Math. Surveys, No. 13, Amer. Math. Soc., Providence, R.I., 1974. |
| [10] |
J. G. Stampfli, Minimal range theorems for operators with thin spectra, Pacific Journal of Math., 23 (1967), 601-612. |
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