Results 11 to 20 of about 230 (40)
Some remarks about Mackey convergence
International 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
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Fast complete locally convex linear topological spaces
International 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
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Convolution on distribution spaces characterized by regularization
Mathematische 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
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Barrelled and Bornological Function Spaces
Journal 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
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Distinguished Cp (X) spaces and the strongest locally convex topology [PDF]
, 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
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Density conditions in Fréchet and (DF)-spaces [PDF]
, 1989 Sin ...
Bierstedt, K.D., Bonet, José
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The Space of Countably Simple Bounded Functions with Values in a DF-Space [PDF]
, 1994 Sin ...
Díaz, S. +3 more
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, 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
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EXPONENTIAL GENERALIZED DISTRIBUTIONS [PDF]
, 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.
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Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients
Abstract 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
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