A Commutant Lifting Theorem for a Domain in C2and Spectral Interpolation

Journal of Functional Analysis - Tập 161 - Trang 452-477 - 1999
J. Agler1, N.J. Young2
1Department of Mathematics, University of California, San Diego, California, 92093
2Department of Mathematics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, England

Tài liệu tham khảo

Agler, 1990, On the representation of certain holomorphic functions defined on a polydisc Arveson, 1969, Subalgebras ofC, Acta Math., 123, 141, 10.1007/BF02392388 Bercovici, 1991, A spectral commutant lifting theorem, Trans. Amer. Math. Soc., 325, 741, 10.1090/S0002-9947-1991-1000144-9 Doyle, 1985, Structured uncertainty in control systems Eschmeier, 1996 Foiaş, 1986 Fuglede, 1950, A commutativity theorem for normal operators, Nat. Acad. Sci., 36, 35, 10.1073/pnas.36.1.35 Matlabμ, The Math Works Inc. Natick, Massachusetts, http://www.mathworks.com/products/muanalysis/ Pick, 1916, Über die Beschränkungen analytischer Funktionen, welche durch vorgegebene Funktionswerte bewirkt werden, Math. Ann., 77, 7, 10.1007/BF01456817 Pták, 1980, A generalization of the zero location theorem of Schur and Cohn, Trans. Inst. Electrical Electron. Engineers Automat. Control, 25, 978, 10.1109/TAC.1980.1102476 Sarason, 1965, On spectral sets having connected complement, Acta Sci. Math. (Szeged), 26, 289 Schur, 1917, Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind, J. für Math., 147, 205 Sz.-Nagy, 1970 Stinespring, 1955, Positive functions onC, Proc. Amer. Math. Soc., 6, 211