|
Blaschke products generate $H^\infty$
Author(s):
Donald E.
Marshall
Journal:
Bull. Amer. Math. Soc.
82
(1976),
494-496.
MSC (1970):
Primary 30A76, 30A78, 30A82;
Secondary 46J10, 46J15
MathSciNet review:
0402054
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- 1.
- A. Bernard, J. B. Garnett, and D. E. Marshall, Algebras generated by inner functions, J. Functional Analysis (to appear). MR 442691
- 2.
- F. T. Birtel, ed., Function algebras, Scott, Foresman, Glenview, Ill., 1966. MR 198277
- 3.
- C. Carathéodory, Theory of functions of a complex variable, Vol. II, Chelsea, New York, 1960.
- 4.
- R. G. Douglas and W. Rudin, Approximation by inner functions, Pacific J. Math. 31 (1969), 313-320. MR 40 #7814. MR 254606
- 5.
- R. G. Douglas, H. S. Shapiro, and A. L. Shields, Cyclic vectors and invariant subspaces for the backward shift operator, Ann. Inst. Fourier (Grenoble) 20 (1970), Fasc. 1, 37-76. MR 42 #5088. MR 270196
- 6.
- S. Fisher, The convex hull of the finite Blaschke products, Bull. Amer. Math. Soc. 74 (1968), 1128-1129. MR 38 #2316. MR 233995
- 7.
- S. Fisher, Another theorem on convex combinations of unimodular functions, Bull. Amer. Math. Soc. 75 (1969), 1037-1039. MR 39 #5811. MR 244497
- 8.
- S. Fisher, Approximation by unimodular functions, Canad. J. Math. 23 (1971), 257-269. MR 43 #888. MR 275131
- 9.
- O. Frostman, Potential d'équilibre et capacité des ensembles avec quelques applications à la théorie des fonctions, Medd. Lunds Univ. Mat. Sem. 3 (1935), 1-118.
- 10.
- R. Nevanlinna, Über beschränkte analytische Funktionen, Ann. Acad. Sci. Fenn. Ser. A 32 (1929), No. 7.
- 11.
- R. R. Phelps, Extreme points in function algebras, Duke Math. J. 32 (1965), 267-277. MR 31 #3890. MR 179644
- 12.
- W. Rudin, Convex combinations of unimodular functions, Bull. Amer. Math. Soc. 75 (1969), 795-797. MR 39 #3239. MR 241902
- 13.
- R. Sine, On a paper of Phelps, Proc. Amer. Math. Soc. 18 (1967), 484-486. MR 35 #2152. MR 211270
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1970):
30A76, 30A78, 30A82, 46J10, 46J15
Retrieve articles in all Journals with MSC
(1970):
30A76, 30A78, 30A82, 46J10, 46J15
Additional Information:
DOI:
10.1090/S0002-9904-1976-14071-2
PII:
S 0002-9904(1976)14071-2
|
