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W. Żelazko (2000)
Studia Mathematica
Let A be a commutative unital Fréchet algebra, i.e. a completely metrizable topological algebra. Our main result states that all ideals in A are closed if and only if A is a noetherian algebra
Maria Fragoulopoulou (1992)
Studia Mathematica
A question of Warner and Whitley concerning a nonunital version of the Gleason-Kahane-Żelazko theorem is considered in the context of nonnormed topological algebras. Among other things it is shown that a closed hyperplane M of a commutative symmetric F*-algebra E with Lindelöf Gel'fand space is a maximal regular ideal iff each element of M belongs to some closed maximal regular ideal of E.
Krzysztof Jarosz, Zbigniew Sawoń (1986)
Časopis pro pěstování matematiky
Przemyslaw Kajetanowicz (1989)
Mathematische Zeitschrift
P.J. de Paepe (1978)
Mathematica Scandinavica
W. Żelazko (1985)
Annales Polonici Mathematici
Anders Kock, Murray Adelman (1989)
Monatshefte für Mathematik
Choukri, R., El Kinani, A., Oukhouya, A. (2008)
Matematichki Vesnik
Vladimír Müller (1982)
Commentationes Mathematicae Universitatis Carolinae
Wolfgang Lusky (1978)
Annales de l'institut Fourier
It is proved that for any , where is the Poulsen simplex, so that and , are smooth points, there is a rotation of carrying in .
Larsen, R. (1971)
Portugaliae mathematica
Chalice, Donald R. (1975)
Portugaliae mathematica
Rodia I. Hadjigeorgiou (1997)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Stephen D. Fisher (1974)
Mathematica Scandinavica
R. Choukri (2004)
Extracta Mathematicae
Alistair Bird (2010)
Banach Center Publications
The James-Schreier spaces, defined by amalgamating James' quasi-reflexive Banach spaces and Schreier space, can be equipped with a Banach-algebra structure. We answer some questions relating to their cohomology and ideal structure, and investigate the relations between them. In particular we show that the James-Schreier algebras are weakly amenable but not amenable, and relate these algebras to their multiplier algebras and biduals.
Wolfgang Schwarz, Thomas Maxsein, Paul Smith (1991)
Mathematica Slovaca
Soderborg, Nathan (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
W. Żelazko (2006)
Colloquium Mathematicae
We construct an example as announced in the title. We also indicate all right, left and two-sided ideals in this example.
Pamela Gorkin, Raymond Mortini, Daniel Suárez (2001)
Studia Mathematica
Let f be a function in the Douglas algebra A and let I be a finitely generated ideal in A. We give an estimate for the distance from f to I that allows us to generalize a result obtained by Bourgain for to arbitrary Douglas algebras.
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