Algebras of functions on the unit circle

Bulletin of the American Mathematical Society - Tập 79 Số 2 - Trang 286-299
Donald Sarason

Tóm tắt

Từ khóa


Tài liệu tham khảo

Boas, Ralph Philip, Jr., 1954, Entire functions

Carleson, Lennart, 1962, Interpolations by bounded analytic functions and the corona problem, Ann. of Math. (2), 76, 547, 10.2307/1970375

Cohen, Paul J., 1961, A note on constructive methods in Banach algebras, Proc. Amer. Math. Soc., 12, 159, 10.2307/2034144

Davie, A. M., 1973, Distance estimates and pointwise bounded density, Trans. Amer. Math. Soc., 175, 37, 10.2307/1996068

Douglas, R. G., 1968, Toeplitz and Wiener-Hopf operators in 𝐻^{∞}+𝐶, Bull. Amer. Math. Soc., 74, 895, 10.1090/S0002-9904-1968-12071-3

Douglas, R. G., 1969, On the spectrum of Toeplitz and Wiener-Hopf operators, 53

Douglas, R. G., 1969, Approximation by inner functions, Pacific J. Math., 31, 313, 10.2140/pjm.1969.31.313

Douglas, R. G., 1970, Fredholm Toeplitz operators, Proc. Amer. Math. Soc., 26, 117, 10.2307/2036815

Douglas, R. G., 1971, A class of Toeplitz operators, Indiana Univ. Math. J., 20, 891, 10.1512/iumj.1971.20.20073

10. C. Fefferman and E. M. Stein, (in preparation).

Garnett, John, 1967, Algebras with the same multiplicative measures, J. Functional Analysis, 1, 331, 10.1016/0022-1236(67)90018-3

Gleason, Andrew M., 1962, The extension of linear functionals defined on 𝐻^{∞}, Pacific J. Math., 12, 163, 10.2140/pjm.1962.12.163

Helson, Henry, 1964, Lectures on invariant subspaces

Helson, Henry, 1967, Past and future, Math. Scand., 21, 5, 10.7146/math.scand.a-10840

Hoffman, Kenneth, 1962, Banach spaces of analytic functions

Hoffman, K., 1960, Maximal algebras of continuous functions, Acta Math., 103, 217, 10.1007/BF02546357

Leĭbenzon, Z. L., 1952, On the ring of continuous functions on a circle, Uspehi Matem. Nauk (N.S.), 7, 163

Lumer, G., 1964, Analytic functions and Dirichlet problem, Bull. Amer. Math. Soc., 70, 98, 10.1090/S0002-9904-1964-11036-3

Lumer, G., 1969, On Wermer’s maximality theorem, Invent. Math., 8, 236, 10.1007/BF01406075

Sarason, Donald, 1967, Generalized interpolation in 𝐻^{∞}, Trans. Amer. Math. Soc., 127, 179, 10.2307/1994641

Sarason, Donald, 1972, An addendum to: “Past and future” (Math. Scand. 21 (1967), 5–16 (1968)) by H. Helson and D. Sarason, Math. Scand., 30, 62

Sarason, Donald, 1973, On products of Toeplitz operators, Acta Sci. Math. (Szeged), 35, 7

22. D. Sarason, Invariant subspaces (to appear).

Sarason, Donald, 1972, Approximation of piecewise continuous functions by quotients of bounded analytic functions, Canadian J. Math., 24, 642, 10.4153/CJM-1972-060-9

Seidel, Wladimir, 1934, On the distribution of values of bounded analytic functions, Trans. Amer. Math. Soc., 36, 201, 10.2307/1989711

Wermer, John, 1953, On algebras of continuous functions, Proc. Amer. Math. Soc., 4, 866, 10.2307/2031819

Zalcman, Lawrence, 1969, Bounded analytic functions on domains of infinite connectivity, Trans. Amer. Math. Soc., 144, 241, 10.2307/1995280