Results 11 to 20 of about 230 (40)

Some remarks about Mackey convergence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
In this paper, we examine Mackey convergence with respect to K-convergence and bornological (Hausdorff locally convex) spaces. In particular, we prove that: Mackey convergence and local completeness imply property K; there are spaces having K- convergent
Józef Burzyk, Thomas E. Gilsdorf
doaj   +2 more sources

Fast complete locally convex linear topological spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
This is a study of relationship between the concepts of Mackey, ultrabornological, bornological, barrelled, and infrabarrelled spaces and the concept of fast completeness. An example of a fast complete but not sequentially complete space is presented.
Carlos Bosch   +2 more
doaj   +2 more sources

Convolution on distribution spaces characterized by regularization

open access: yesMathematische Nachrichten, Volume 296, Issue 5, Page 1938-1963, May 2023., 2023
Abstract Locally convex convolutor spaces are studied which consist of those distributions that define a continuous convolution operator mapping from the space of test functions into a given locally convex lattice of measures. The convolutor spaces are endowed with the topology of uniform convergence on bounded sets.
Tillmann Kleiner, Rudolf Hilfer
wiley   +1 more source

Barrelled and Bornological Function Spaces

open access: yesJournal of Mathematical Analysis and Applications, 2000
A subset \(K\) of a completely regular topological space \(Y\) is \(t\)-bounded if \(f(K)\) is a bounded subset of \(\mathbb{R}\) for every real continuous function \(f\) on \(Y\). Let \(X\) be a completely regular topological space. \(\nu X\) is the real-compactification of \(X\).
Dontchev, Julian   +2 more
openaire   +1 more source

Distinguished Cp (X) spaces and the strongest locally convex topology [PDF]

open access: yes, 2023
Since Tychonoff spaces X serve as continuous Hamel bases for the strong dual Lβ (X) of Cp (X), an old splitting theorem proves: Cp (X) is distinguished ⇔ Lβ (X) has the strongest locally convex topology (slctop) [Ferrando/Ka˛kol].
Ferrando, Juan Carlos, Saxon, Stephen
core   +1 more source

Density conditions in Fréchet and (DF)-spaces [PDF]

open access: yes, 1989
Sin ...
Bierstedt, K.D., Bonet, José
core   +2 more sources

The Space of Countably Simple Bounded Functions with Values in a DF-Space [PDF]

open access: yes, 1994
Sin ...
Díaz, S.   +3 more
core   +2 more sources

Periodic behaviors [PDF]

open access: yes, 2010
This paper studies behaviors that are defined on a torus, or equivalently, behaviors defined in spaces of periodic functions, and establishes their basic properties analogous to classical results of Malgrange, Palamodov, Oberst et al.
Napp, Diego   +2 more
core   +4 more sources

EXPONENTIAL GENERALIZED DISTRIBUTIONS [PDF]

open access: yes, 2010
In this paper we generalize the Fourier transform from the space of tempered distributions to a bigger space called exponential generalized distributions.
Gordon, M., Loura, L.
core   +1 more source

Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients

open access: yesAbstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We introduce the wave front set WF*P(u) with respect to the iterates of a hypoelliptic linear partial differential operator with constant coefficients of a classical distribution u ∈ 𝒟′(Ω) in an open set Ω in the setting of ultradifferentiable classes of Braun, Meise, and Taylor.
C. Boiti   +3 more
wiley   +1 more source

Home - About - Disclaimer - Privacy