A constructive proof of the Beurling-Rudin theorem
Mortini, Raymond
Studia Mathematica, Tome 129 (1998), p. 51-58 / Harvested from The Polish Digital Mathematics Library

A constructive proof of the Beurling-Rudin theorem on the characterization of the closed ideals in the disk algebra A(𝔻) is given.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216491
@article{bwmeta1.element.bwnjournal-article-smv129i1p51bwm,
     author = {Raymond Mortini},
     title = {A constructive proof of the Beurling-Rudin theorem},
     journal = {Studia Mathematica},
     volume = {129},
     year = {1998},
     pages = {51-58},
     zbl = {0903.46053},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv129i1p51bwm}
}
Mortini, Raymond. A constructive proof of the Beurling-Rudin theorem. Studia Mathematica, Tome 129 (1998) pp. 51-58. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv129i1p51bwm/

[00000] [Ga] J. B. Garnett, Bounded Analytic Functions, Academic Press, New York, 1981.

[00001] [Ho] K. Hoffman, Banach Spaces of Analytic Functions, Dover Publ., New York, 1988 (reprint of the 1962 edition).

[00002] [Mo] R.Mortini, Closed and prime ideals in the algebra of bounded analytic functions, Bull. Austral. Math. Soc. 35 (1987) 213-229. | Zbl 0601.46052

[00003] [MoRu] R. Mortini and R. Rupp, A constructive proof of the Nullstellensatz for subalgebras of A(K), Trav. Math. 3, Publ. CUL, 1991, 45-49. | Zbl 0735.30040

[00004] [vR] M. von Renteln, A simple constructive proof of an analogue of the Corona theorem, Proc. Amer. Math. Soc. 83 (1981) 299-303. | Zbl 0479.30037

[00005] [Ru] W. Rudin, The closed ideals in an algebra of analytic functions, Canad. Math. J. 9 (1957) 426-434. | Zbl 0080.31703

[00006] [Rud] W. Rudin, A generalization of a theorem of Frostman, Math. Scand. 21 (1967), 136-143. | Zbl 0185.33301

[00007] [SrWa] T. P. Srinivasan and J. K. Wang, On the closed ideals of analytic functions, Proc. Amer. Math. Soc. 16 (1965), 49-52. | Zbl 0143.15504