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Displaying 41 – 60 of 271

Bessaga's conjecture in unstable Köthe spaces and products

Zefer Nurlu, Jasser Sarsour (1993)

Studia Mathematica

Let F be a complemented subspace of a nuclear Fréchet space E. If E and F both have (absolute) bases $(e_{n})$ resp. $(f_{n})$ , then Bessaga conjectured (see [2] and for a more general form, also [8]) that there exists an isomorphism of F into E mapping $f_{n}$ to $t_{n} e_{π (k_{n})}$ where $(t_{n})$ is a scalar sequence, π is a permutation of ℕ and $(k_{n})$ is a subsequence of ℕ. We prove that the conjecture holds if E is unstable, i.e. for some base of decreasing zero-neighborhoods $(U_{n})$ consisting of absolutely convex sets one has ∃s ∀p ∃q ∀r $l i m_{n} (d_{n + 1} (U_{q}, U_{p})) / (d_{n} (U_{r}, U_{s})) = 0$ where...

Biduality in (LF)-spaces.

Klaus D. Bierstedt, José Bonet (2001)

RACSAM

En la Sección 1 se pueban resultados abstractos sobre preduales y sobre bidualidad de espacios (LF). Sea E = indn En un espacio (LF), ponemos H = indn Hn para una sucesión de subespacios de Fréchet Hn de En con Hn ⊂ Hn+1. Investigamos bajo qué condiciones el espacio E es canónicamente (topológicamente isomorfo a) el bidual inductivo (H'b)'i o (incluso) al bidual fuerte de H. Los resultados abstractos se aplican en la Sección 2, especialmente a espacios (LF) ponderados de funciones holomorfas, pero...

Biequivalence vector spaces in the alternative set theory

Miroslav Šmíd, Pavol Zlatoš (1991)

Commentationes Mathematicae Universitatis Carolinae

As a counterpart to classical topological vector spaces in the alternative set theory, biequivalence vector spaces (over the field $Q$ of all rational numbers) are introduced and their basic properties are listed. A methodological consequence opening a new view towards the relationship between the algebraic and topological dual is quoted. The existence of various types of valuations on a biequivalence vector space inducing its biequivalence is proved. Normability is characterized in terms of total...

Bounded linear maps between (LF)-spaces.

Angela A. Albanese (2003)

RACSAM

Characterizations of pairs (E,F) of complete (LF)?spaces such that every continuous linear map from E to F maps a 0?neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)?spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Önal, T. Terzioglu and D. Vogt.

Bounded sets in topological vector spaces.

Maxim R. Burke, Stevo Todorcevic (1996)

Mathematische Annalen

Boundedly completed subspaces in locally convex spaces.

Bella Tsirulnikov (1981)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Calculation of the Bidual for Some Function Spaces. Integrable Distributions.

Jürgen Voigt, Peter Dierolf (1980)

Mathematische Annalen

Cartan-Thullen theorem for domains spread over ...-spaces.

Martin Schottenloher (1983)

Journal für die reine und angewandte Mathematik

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

Characterization of subspaces and quotients of nuclear $L_{f} (α, \infty)$ -spaces

Heikki Apiola (1983)

Compositio Mathematica

Characterizing Fréchet-Schwartz spaces via power bounded operators

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...

Currently displaying 41 – 60 of 271

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Displaying 41 – 60 of 271

Bessaga's conjecture in unstable Köthe spaces and products

Biduality in (LF)-spaces.

Biequivalence vector spaces in the alternative set theory

Bounded linear maps between (LF)-spaces.

Bounded sets in topological vector spaces.

Boundedly completed subspaces in locally convex spaces.

Calculation of the Bidual for Some Function Spaces. Integrable Distributions.

Cartan-Thullen theorem for domains spread over ...-spaces.

Characterization of nuclear Fréchet spaces in which every bounded set is polar

Characterization of subspaces and quotients of nuclear $L_{f} (α, \infty)$ -spaces

Characterizing Fréchet-Schwartz spaces via power bounded operators

Charakterisierung der Unterraüme eines nuklearen stabilen Potenzreihenraumes von endlichen Typ

Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ

Choquetsimplexe und nukleare Räume.

Compact non-nuclear operator problem

Complemented Infinite Type Power Series Subspaces of Nuclear Fréchet Spaces.

Complemented subspaces in tame power series spaces

Completeness of regular inductive limits.

Concrete subspaces and quotient spaces of locally convex spaces and completing sequences [Book]

Continous Norms on Locally Convex Strict Inductive Limit Spaces.

Currently displaying 41 – 60 of 271