References
References
- Sarason , D . 1975 . Functions of vanishing mean oscillation . Transactions of the American Mathematical Society , 207 : 391 – 405 .
- Garnett J 1981 Bounded Analytic Functions New York Academic Press
- Gorkin , P , Lingenberg , H-M and Mortini , R . 1990 . Homeomorphic disks in the spectrum of H ∞ . Indiana University Mathematics Journal , 39 : 961 – 983 .
- Gorkin , P . 1984 . Decompositions of the maximal ideal space of L ∞ . Transactions of the American Mathematical Society , 282 : 33 – 44 .
- Izuchi , K . 1986 . QC-level sets and quotients of Douglas algebras . Journal of Functional Analysis , 65 : 293 – 308 .
- Izuchi , K . 1987 . Countably generated Douglas algebras . Transactions of the American Mathematical Society , 299 : 171 – 192 .
- Sarason D 1983 The Shilov and Bishop decompositions of H ∞+C W. Beckner, A. Calderon, R. Fefferman and P. Jones (Eds.) Conference on Harmonic Analysis in Honor of Antoni Zygmund Vol I, II (Chicago, Ill., 1981), Wadsworth Math. Ser. Wadsworth Belmont CA pp. 461–474
- Wolff , T . 1982 . Two algebras of bounded functions . Duke Mathematical Journal , 49 : 321 – 328 .
- Gorkin , P and Mortini , R . 2000 . Synthesis sets for H ∞ +C . Indiana University Mathematics Journal , 49 : 287 – 309 .
- Gorkin P Mortini R 2002 k-hulls and support sets in the spectrum of H ∞ +C Archives of Mathematics Basel 79 51 60
- Gorkin , P and Mortini , R . 2002 . Hulls of closed prime ideals in H ∞ . Illinois Journal of Mathematics , 46 : 519 – 532 .
- Izuchi , K . 2003 . K-hulls of QC-level sets . Indiana University Mathematics Journal , 52 : 421 – 436 .
- Gorkin , P and Mortini , R . 1997 . Alling's conjecture on closed prime ideals in H ∞ . Journal of Functional Analysis , 148 : 185 – 190 .
- Hoffman , K . 1967 . Bounded analytic functions and Gleason parts . Annals of Mathematics , 86 : 74 – 111 .
- Hoffman K 1962 Banach Spaces of Analytic Functions New Jersey Prentice Hall
- Guillory , C and Izuchi , K . 1993 . Interpolating Blaschke products and nonanalytic sets . Complex Variables , 23 : 163 – 175 .
- Izuchi K Izuchi Y Non-analytic sets and QC-level sets in the maximal ideal space of H ∞ Preprint
- Izuchi , K . 1985 . Zero sets of interpolating Blaschke products . Pacific Journal of Mathematics , 119 : 337 – 342 .
- Hoffman K Unpublished note
- Izuchi , K . 2001 . Weak infinite products of Blaschke products . Proceedings of the American Mathematical Society , 129 : 3611 – 3618 .
- Gorkin P Mortini R 1999 A survey of closed ideals in familiar function algebras Function Spaces (Edwardsville, IL. 1998). Contemporary Mathematics 232 Providence RI Amer. Math. Soc. pp. 161–170
- Izuchi , K . 2002 . On ideals in H ∞ whose closures are intersections of maximal ideals, -hulls of QC-level sets . The Michigan Mathematical Journal , 50 : 3 – 16 .
- Gillman L Jerison M 1976 Rings of Continuous Functions New York Springer
- Gamelin T 1969 Uniform Algebras New Jersey Prentice Hall