Bases and Quasi-reflexivity of Banach Spaces.
I. SINGER (1964)
Mathematische Annalen
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I. SINGER (1964)
Mathematische Annalen
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N. Kalton (1995)
Studia Mathematica
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We construct a quasi-Banach space X which contains no basic sequence.
Daniel C. Kemp (1975)
Mathematische Annalen
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Catherine Finet (1989)
Mathematische Annalen
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Ehrhard Behrends (1978)
Mathematische Annalen
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Seán DINEEN (1971)
Mathematische Annalen
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Fernando Albiac, José Ansorena (2012)
Open Mathematics
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Unlike for Banach spaces, the differentiability of functions between infinite-dimensional nonlocally convex spaces has not yet been properly studied or understood. In a paper published in this Journal in 2006, Bayoumi claimed to have discovered a new notion of derivative that was more suitable for all F-spaces including the locally convex ones with a wider potential in analysis and applied mathematics than the Fréchet derivative. The aim of this short note is to dispel this misconception,...
Klaus Deimling (1974)
Mathematische Annalen
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Nigel Kalton (1981)
Studia Mathematica
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Bernd Anger, Jörg Lembcke (1974)
Mathematische Annalen
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Holger Rauhut (2007)
Colloquium Mathematicae
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We generalize the theory of Wiener amalgam spaces on locally compact groups to quasi-Banach spaces. As a main result we provide convolution relations for such spaces. Also we weaken the technical assumption that the global component is invariant under right translations, which is new even for the classical Banach space case. To illustrate our theory we discuss in detail an example on the ax+b group.
Andrew John Sommese (1975)
Mathematische Annalen
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Andrew John Sommese (1976)
Mathematische Annalen
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