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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Displaying similar documents to “Quasi-distinguished and boundedly completed locally convex spaces.”
Boundedly completed subspaces in locally convex spaces.
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.
Convexity, type and three space problem
Nigel Kalton (1981)
Studia Mathematica
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Quasi totally barrelled spaces
Ferrando, Juan Carlos, Mas, Jose (1990)
Portugaliae mathematica
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The quasi topology associated with a countably subadditive set function
Bent Fuglede (1971)
Annales de l'institut Fourier
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This is a general study of an increasing, countably subadditive set function, called a capacity, and defined on the subsets of a topological space . The principal aim is the study of the “quasi-topological” properties of subsets of , or of numerical functions on , with respect to such a capacity . Analogues are obtained to various important properties of the fine topology in potential theory, notably the quasi Lindelöf principle (Doob), the existence of a fine support (Getoor), and...
On the subspaces of Fréchet Montel spaces and of the strong duals of Fréchet Montel spaces.
W. Roelke (1971)
Collectanea Mathematica
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A property of quasi-complements
Robert H. Lohman (1974)
Colloquium Mathematicae
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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,...
On weak drop property and quasi-weak drop property
J. H. Qiu (2003)
Studia Mathematica
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Every weakly sequentially compact convex set in a locally convex space has the weak drop property and every weakly compact convex set has the quasi-weak drop property. An example shows that the quasi-weak drop property is strictly weaker than the weak drop property for closed bounded convex sets in locally convex spaces (even when the spaces are quasi-complete). For closed bounded convex subsets of quasi-complete locally convex spaces, the quasi-weak drop property is equivalent to weak...
On some questions in quasi-uniform topological spaces.
Jesús Ferrer Llopis, Valentín Gregori Gregori, Carmen Alegre Gil (1992)
Stochastica
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Partial solution is given here respect to one open problem posed by P. Fletcher and W. F. Lindgren in their monography Quasi-uniform spaces.
Some seminorms on quasi *-algebras
Camillo Trapani (2003)
Studia Mathematica
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Different types of seminorms on a quasi *-algebra (𝔄,𝔄₀) are constructed from a suitable family ℱ of sesquilinear forms on 𝔄. Two particular classes, extended C*-seminorms and CQ*-seminorms, are studied in some detail. A necessary and sufficient condition for the admissibility of a sesquilinear form in terms of extended C*-seminorms on (𝔄,𝔄₀) is given.