Quasi-bounded sets.
Kučera, Jan (1990)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Note on quasi-bounded sets.”
Quasi-bounded sets.
Bayoumi quasi-differential is not different from Fréchet-differential
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,...
The three space problem for locally bounded -spaces
N. J. Kalton (1978)
Compositio Mathematica
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Nigel Kalton (1981)
Studia Mathematica
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Boundedly barrelled spaces and the open mapping theorem
Iyahen, S.O. (1989)
Portugaliae mathematica
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Quasi-distinguished and boundedly completed locally convex spaces.
Bella Tsirulnikov (1981)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Boundedly completed subspaces in locally convex spaces.
Bella Tsirulnikov (1981)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Banach-Mackey spaces.
Qiu, Jing Hui, McKennon, Kelly (1991)
International Journal of Mathematics and Mathematical Sciences
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On a problem posed by M. M. Popov
F. Albiac, J. L. Ansorena (2012)
Studia Mathematica
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We show that if X is a non-locally convex quasi-Banach space with a rich dual, there exists a continuous function f: [0,1] → X failing to have a primitive. This answers a twenty year-old question raised by M. Popov in this journal.
On the Glicksberg theorem for locally quasi-convex Schwartz groups
Lydia Außenhofer (2008)
Fundamenta Mathematicae
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We prove that every locally quasi-convex Schwartz group satisfies the Glicksberg theorem for weakly compact sets.
Drop property on locally convex spaces
Ignacio Monterde, Vicente Montesinos (2008)
Studia Mathematica
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A single technique provides short proofs of some results about drop properties on locally convex spaces. It is shown that the quasi drop property is equivalent to a drop property for countably closed sets. As a byproduct, we prove that the drop and quasi drop properties are separably determined.
Conjugate locally convex spaces IV
Krishnamurthy, V.
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Compactness and countable compactness in weak topologies
W. Kirk (1995)
Studia Mathematica
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A bounded closed convex set K in a Banach space X is said to have quasi-normal structure if each bounded closed convex subset H of K for which diam(H) > 0 contains a point u for which ∥u-x∥ < diam(H) for each x ∈ H. It is shown that if the convex sets on the unit sphere in X satisfy this condition (which is much weaker than the assumption that convex sets on the unit sphere are separable), then relative to various weak topologies, the unit ball in X is compact whenever it is countably...