Results 21 to 30 of about 230 (40)

On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution [PDF]

open access: yes, 2017
We develop a convolution theory for quasianalytic ultradistributions of Gelfand-Shilov type. We also construct a special class of ultrapolynomials, and use it as a base for the parametrix method in the study of new topological and structural properties ...
Pilipovic, Stevan   +2 more
core   +2 more sources

Buchwalter‐Schmets theorems and linear topologies

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 13-16, 1999., 1999
In this paper, we obtain Buchwalter‐Schmets theorems in the realm of Lefschetz linearly topologized spaces.
L. M. Sánchez Ruiz, J. R. Ferrer
wiley   +1 more source

Mackey convergence and quasi‐sequentially webbed spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 17-26, 1991., 1991
The problem of characterizing those locally convex spaces satisfying the Mackey convergence condition is still open. Recently in [4], a partial description was given using compatible webs. In this paper, those results are extended by using quasi‐sequentially webbed spaces (see Definition 1).
Thomas E. Gilsdorf
wiley   +1 more source

Mazur spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 1, Page 39-53, 1981., 1981
A Mazur space is a locally convex topological vector space X such that every fϵXs is continuous where Xs is the set of sequentially continuous linear functionals on X; Xs is studied when X is of the form C(H), H a topological space, and when X is the weak * dual of a locally convex space. This leads to a new classification of compact T2 spaces H, those
Albert Wilansky
wiley   +1 more source

On linearisation and existence of preduals [PDF]

open access: yes
We study the problem of existence of preduals of locally convex Hausdorff spaces. We derive necessary and sufficient conditions for the existence of a predual with certain properties of a bornological locally convex Hausdorff space X. Then we turn to the
Kruse, Karsten
core   +2 more sources

On linearization and uniqueness of preduals [PDF]

open access: yes
We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar-valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F⁡(Ω) of scalar-valued functions on a nonempty set Ω 
Kruse, Karsten
core   +1 more source

On linearisation, existence and uniqueness of preduals

open access: yes, 2023
We study the problem of existence and uniqueness of preduals of locally convex Hausdorff spaces. We derive necessary and sufficient conditions for the existence of a predual with certain properties of a bornological locally convex Hausdorff space $X ...
Kruse, Karsten
core  

Some properties of short exact sequences of locally convex Riesz spaces [PDF]

open access: yes, 1998
summary:We investigate the stability of some properties of locally convex Riesz spaces in connection with subspaces and quotients and also the corresponding three-space-problems.
Kadelburg, Zoran, Radenović, Stojan
core  

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