A characteristic property of the algebra .
Karakhanyan, M.I., Khor'kova, T.A. (2009)
Sibirskij Matematicheskij Zhurnal
Gaur, A.K. (1997)
International Journal of Mathematics and Mathematical Sciences
Mitani, Ken-Ichi, Saito, Kichi-Suke (2007)
Banach Journal of Mathematical Analysis [electronic only]
Jan Čerych (1980)
Commentationes Mathematicae Universitatis Carolinae
G. Dal Maso, Anneliese Defranceschi (1992)
Manuscripta mathematica
W. Żelazko (2005)
Banach Center Publications
In this paper we extend the characterization of characters given in [1], [2] and [8] onto m-pseudoconvex algebras. As a consequence (and a generalization) we give a characterization of continuous homomorphisms from m-pseudoconvex algebras into commutative semisimple m-pseudoconvex algebras.
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
M. Benslimane, L. Mesmoudi, A. Rodríguez Palacios (2000)
Extracta Mathematicae
D. Przeworska-Rolewicz (1972)
Studia Mathematica
Paul Jolissaint (1992)
Colloquium Mathematicae
Petr Petráček, Jiří Spurný (2016)
Commentationes Mathematicae Universitatis Carolinae
We provide a complex version of a theorem due to Bednar and Lacey characterizing real -preduals. Hence we prove a characterization of complex -preduals via a complex barycentric mapping.
Jan Čerych (2004)
Archivum Mathematicum
In the present note, we characterize the essential set of a function algebra defined on a compact Hausdorff space in terms of local properties of functions in at the points off .
W. Żelazko (2005)
Studia Mathematica
We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.
R.G. Laha (1991)
Aequationes mathematicae
Gy. Szabó (1991)
Aequationes mathematicae
Z. Lipecki (1974)
Colloquium Mathematicae
Robert Latter (1978)
Studia Mathematica
Graciela Carboni, Angel Rafael Larotonda (2004)
Commentationes Mathematicae Universitatis Carolinae
Let be a perfect compact set, a quasi-complete locally convex space over and a map. In this note we give a necessary and sufficient condition — in terms of differential quotients — for to have a holomorphic extension on a neighborhood of .
George Maltese, Regina Wille-Fier (1988)
Studia Mathematica
F. Bethuel (1990)
Annales de l'I.H.P. Analyse non linéaire