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Displaying 341 – 360 of 396

Three-space-problem for some classes of linear topological spaces

Zoran Kadelburg, Stojan Radenović (1996)

Commentationes Mathematicae Universitatis Carolinae

We examine the so-called three-space-stability for some classes of linear topological and locally convex spaces for which this problem has not been investigated.

Topological classification of strong duals to nuclear (LF)-spaces

Taras Banakh (2000)

Studia Mathematica

We show that the strong dual X’ to an infinite-dimensional nuclear (LF)-space is homeomorphic to one of the spaces: $ℝ^{ω}$ , $ℝ^{\infty}$ , $Q \times ℝ^{\infty}$ , $ℝ^{ω} \times ℝ^{\infty}$ , or ${(ℝ^{\infty})}^{ω}$ , where $ℝ^{\infty} = l i m ℝ^{n}$ and $Q = {[- 1, 1]}^{ω}$ . In particular, the Schwartz space D’ of distributions is homeomorphic to ${(ℝ^{\infty})}^{ω}$ . As a by-product of the proof we deduce that each infinite-dimensional locally convex space which is a direct limit of metrizable compacta is homeomorphic either to $ℝ^{\infty}$ or to $Q \times ℝ^{\infty}$ . In particular, the strong dual to any metrizable infinite-dimensional Montel space is homeomorphic either...

Topologies and bornologies determined by operator ideals, II

Ngai-Ching Wong (1994)

Studia Mathematica

Let be an operator ideal on LCS’s. A continuous seminorm p of a LCS X is said to be - continuous if $Q ̃_{p} \in^{i n j} (X, X ̃_{p})$ , where $X ̃_{p}$ is the completion of the normed space $X_{p} = X / p^{- 1} (0)$ and $Q ̃_{p}$ is the canonical map. p is said to be a Groth()- seminorm if there is a continuous seminorm q of X such that p ≤ q and the canonical map $Q ̃_{p q} : X ̃_{q} \to X ̃_{p}$ belongs to $(X ̃_{q}, X ̃_{p})$ . It is well known that when is the ideal of absolutely summing (resp. precompact, weakly compact) operators, a LCS X is a nuclear (resp. Schwartz, infra-Schwartz) space if and only if every continuous...

Topologies faciales dans les convexes compacts ; calcul fonctionnel et décomposition spectrale dans le centre d’un espace $A (x)$

Marc Rogalski (1969/1970)

Séminaire Choquet. Initiation à l'analyse

Currently displaying 341 – 360 of 396

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Displaying 341 – 360 of 396

Three-space-problem for some classes of linear topological spaces

Topological classification of strong duals to nuclear (LF)-spaces

Topologies and bornologies determined by operator ideals, II

Topologies faciales dans les convexes compacts ; calcul fonctionnel et décomposition spectrale dans le centre d’un espace $A (x)$

Topologies on Spaces of Vector-Valued Continuous Functions. II.

Topologies on the Extreme Points of Compact Convex Sets.

Topologies on the Extreme Points of Compact Convex Sets II.

Topologies subordonnées

Two New Classes of Locally Convex Spaces.

Über die ...-Reflexivität von C...(X)

Über die Regularitätsbegriffe induktiver Lokalkonvexer Sequenzen.

Über die Tonneliertheit von lokalkonvexen Tensorprodukten.

Über die Verallgemeinerung eines Satzes von Kato.

Über einen Graphensatz für Abbildungen mit normiertem Zielraum.

Über einen Graphensatz für lineare Abbildungen mit metrisierbarem Zielraum.

Über komplementierte Unterräume in lokalkonvexen induktiven Limiten

Ultrabornological structures.

Ultra-(DF)-Räume.

Ultra-DF-Räume mit relativ kompakten beschränkten Teilmengen.

Una nota sull'articolo «Somme dirette nella categoria degli spazi vettoriali topologici»

Currently displaying 341 – 360 of 396