Quasi-distinguished and boundedly completed locally convex spaces.

Bella Tsirulnikov

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Displaying similar documents to “Quasi-distinguished and boundedly completed locally convex spaces.”

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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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 $X$ . The principal aim is the study of the “quasi-topological” properties of subsets of $X$ , or of numerical functions on $X$ , with respect to such a capacity $C$ . 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.