Countably Generated Douglas Algebras

Keiji Izuchi

Type: Article

Publication Date: 1987-01-01

Citations: 7

DOI: https://doi.org/10.2307/2000488

Abstract

Under a certain assumption of f and 9 in Loo which is considered by Sarason, a strong separation theorem is proved.This is available to study a Douglas algebra [HOO, f] generated by Hoo and f.It is proved that(1) ball(B/Hoo + C) does not have exposed points for every Douglas algebra B, (2) Sarason's three functions problem is solved affirmatively, (3) some characterization of f for which [HOO,f] is singly generated, and (4) the M-ideal conjecture for Douglas algebras is not true.

Locations

Transactions of the American Mathematical Society - View - PDF

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+	Maximal Douglas Subalgebras and Minimal Support Points	1992	Carroll Guillory Keiji Izuchi
+ PDF Chat	Sequential type Korovkin theorem on 𝐿^{∞} for QC-test functions	1997	Keiji Izuchi
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Works Cited by This (11)

Action	Title	Year	Authors
+	Function theory on the unit circle	1978	Donald Sarason
+ PDF Chat	Function theory and M-ideals	1985	T. W. Gamelin Donald E. Marshall R. Younis William R. Zame
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+	Two algebras of bounded functions	1982	Thomas Wolff
+ PDF Chat	Zero sets of interpolating Blaschke products	1985	Kei Ji Izuchi
+	Division in Douglas algebras and some applications	1985	Rahman Younis
+ PDF Chat	Bounded Analytic Functions.	1982	Peter W. Jones John B. Garnett
+	Banach Spaces of Analytic Functions.	1964	Garrett Johnson Kenneth A. Hoffman
+ PDF Chat	Functions of Vanishing Mean Oscillation	1975	Donald Sarason
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