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Interpolation problems in nest algebras. (English) Zbl 0309.46053


MSC:

47L30 Abstract operator algebras on Hilbert spaces
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[1] W. B. Arveson\(C^∗\); W. B. Arveson\(C^∗\) · Zbl 0344.46123
[2] Arveson, W. B., Subalgebras of \(C^∗\)-algebras, Acta Math., 123, 141-224 (1969) · Zbl 0194.15701
[3] Arveson, W. B., Subalgebras of \(C^∗\)-algebras II, Acta Math., 128, 271-308 (1972) · Zbl 0245.46098
[4] Arveson, W. B., Operator algebras and invariant subspaces, Ann. of Math., 100, 433-532 (1974) · Zbl 0334.46070
[5] Carleson, L., Interpolations by bounded analytic functions and the Corona problem, Ann. of Math., 76, 547-559 (1962) · Zbl 0112.29702
[6] Coburn, L.; Schecter, M., Joint spectra and interpolation of operators, J. Functional Anal., 2, 226-237 (1968) · Zbl 0187.38001
[7] Dixmier, J., Les algèbres d’opérateurs dans l’espace Hilbertien (1957), Gauthier-Villars: Gauthier-Villars Paris · Zbl 0088.32304
[8] Halmos, P. R., Quasitriangular operators, Acta Sci. Math. (Szeged), 29, 283-293 (1968) · Zbl 0172.16901
[9] Halmos, P. R., Ten problems in Hilbert space, Bull. Amer. Math. Soc., 76, 887-933 (1970) · Zbl 0204.15001
[10] Hoffman, K. M., Banach Spaces of Analytic Functions (1962), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J · Zbl 0117.34001
[11] Ringrose, J. R., On some algebras of operators, (Proc. London Math. Soc., 15 (1965)), 61-83 · Zbl 0135.16804
[12] Arveson, W. B.; Feldman, J., A note on invariant subspaces, Michigan Math. J., 15, 61-64 (1968) · Zbl 0167.13304
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