Characterization of nuclear Fréchet spaces in which every bounded set is polar
Seán Dineen, Reinhold Meise, Dietmar Vogt (1984)
Bulletin de la Société Mathématique de France
Wojciech Banaszczyk, Maria Banaszczyk (1984)
Mathematische Zeitschrift
Heikki Apiola (1983)
Compositio Mathematica
Hofmann, Gerald (1982)
Proceedings of the 10th Winter School on Abstract Analysis
Eriksson-Bique, Sirkka-Liisa (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Robert H. Lohman (1972)
Mathematica Scandinavica
R. Mennicken, B. Sagraloff (1980)
Journal für die reine und angewandte Mathematik
Akkouchi, Mohamed (2000)
Divulgaciones Matemáticas
Hong-Yun Xiong (1983)
Mathematische Zeitschrift
Wolfgang W. Breckner (1996)
Manuscripta mathematica
J. Quinn, R. Reichard (1974)
Colloquium Mathematicae
Angela A. Albanese, José Bonet, Werner J. Ricker (2014)
Studia Mathematica
We characterize Köthe echelon spaces (and, more generally, those Fréchet spaces with an unconditional basis) which are Schwartz, in terms of the convergence of the Cesàro means of power bounded operators defined on them. This complements similar known characterizations of reflexive and of Fréchet-Montel spaces with a basis. Every strongly convergent sequence of continuous linear operators on a Fréchet-Schwartz space does so in a special way. We single out this type of "rapid convergence" for a sequence...
J.R. Edwards (1970)
Journal für die reine und angewandte Mathematik
Dietmar Vogt, Max Wagner (1980)
Studia Mathematica
Dietmar Vogt (1982)
Studia Mathematica
Dietmar Vogt, Max Wagner (1981)
Studia Mathematica
Dietmar Vogt (1977)
Mathematische Zeitschrift
Roland Lemmert, Ägidius Weckbach (1984/1985)
Mathematische Zeitschrift
Jean-Thierry Lapresté (1979)
Séminaire de probabilités de Strasbourg
N. Brunner, Paul Howard, Jean Rubin (1997)
Fundamenta Mathematicae
Węglorz' models are models for set theory without the axiom of choice. Each one is determined by an atomic Boolean algebra. Here the algebraic properties of the Boolean algebra are compared to the set theoretic properties of the model.