Displaying similar documents to “On the Glicksberg theorem for locally quasi-convex Schwartz groups”

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.

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...

Quasi-bounded sets.

Kučera, Jan (1990)

International Journal of Mathematics and Mathematical Sciences

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On Mackey topology for groups

M. Chasco, E. Martín-Peinador, V. Tarieladze (1999)

Studia Mathematica

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The present paper is a contribution to fill in a gap existing between the theory of topological vector spaces and that of topological abelian groups. Topological vector spaces have been extensively studied as part of Functional Analysis. It is natural to expect that some important and elegant theorems about topological vector spaces may have analogous versions for abelian topological groups. The main obstruction to get such versions is probably the lack of the notion of convexity in...

On co-ordinated quasi-convex functions

M. Emin Özdemir, Ahmet Ocak Akdemir, Çetin Yıldız (2012)

Czechoslovak Mathematical Journal

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A function f : I → ℝ , where I ⊆ ℝ is an interval, is said to be a convex function on I if f ( t x + ( 1 - t ) y ) ≤ t f ( x ) + ( 1 - t ) f ( y ) holds for all x , y ∈ I and t ∈ [ 0 , 1 ] . There are several papers in the literature which discuss properties of convexity and contain integral inequalities. Furthermore, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We define some new classes of convex functions that we name quasi-convex, Jensen-convex, Wright-convex, Jensen-quasi-convex and Wright-quasi-convex...