Results 11 to 20 of about 507 (79)

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
wiley   +1 more source

A Note on Quotient Reflective Subcategories of O‐REL

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we examine the category of ordered‐RELspaces. We show that it is a normalized and geometric topological category and give the characterization of local T¯0, local T0′, and local T1 ordered‐RELspaces. Furthermore, we characterize explicitly several notions of T0’s and T1 objects in O-REL and study their mutual relationship. Finally, it is
Muhammad Qasim, Ch. Muhammad Afaq Aslam, Calogero Vetro   +2 more
wiley   +1 more source

Well-posedness, bornologies, and the structure of metric spaces

Applied General Topology, 2009
Given a continuous nonnegative functional λ that makes sense defined on an arbitrary metric space (X, d), one may consider those spaces in which each sequence (xn) for which lim n→∞λ(xn) = 0 clusters. The compact metric spaces, the complete metric spaces,
Gerald Beer, Manuel Segura
doaj   +1 more source

Strong Whitney and strong uniform convergences on a bornology

Journal of Mathematical Analysis and Applications, 2022
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Tarun Kumar Chauhan, Varun Jindal
openaire   +1 more source

Some properties of bornological convergences

Topology and its Applications, 2011
We study some basic properties of the so-called bornological convergences in the realm of quasi-uniform spaces. In particular, we revisit the results about when these convergences are topological by means of the use of pretopologies. This yields a presentation of the bornological convergences as a certain kind of hit-and-miss pretopologies. Furthermore,
Rodríguez-López, Jesús, Sánchez-Granero, M.A.   +1 more
openaire   +3 more sources

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, D. Jornet, J. Juan-Huguet, Luigi Rodino   +3 more
wiley   +1 more source

Caristi Type Coincidence Point Theorem in Topological Spaces

Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013
A generalized Caristi type coincidence point theorem and its equivalences in the setting of topological spaces by using a kind of nonmetric type function are obtained. These results are used to establish variational principle and its equivalences in d‐complete spaces, bornological vector space, seven kinds of completed quasi‐semimetric spaces equipped ...
Jiang Zhu, Lei Wei, Cheng-Cheng Zhu, Wei-Shih Du   +3 more
wiley   +1 more source

Stochastic Integration in Abstract Spaces

International Journal of Stochastic Analysis, Volume 2010, Issue 1, 2010., 2010
We establish the existence of a stochastic integral in a nuclear space setting as follows. Let E, F, and G be nuclear spaces which satisfy the following conditions: the spaces are reflexive, complete, bornological spaces such that their strong duals also satisfy these conditions. Assume that there is a continuous bilinear mapping of E × F into G.
J. K. Brooks, J. T. Kozinski, Andrew Rosalsky   +2 more
wiley   +1 more source

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.
core   +1 more source

An Ascoli theorem for sequential spaces

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 5, Page 303-315, 2001., 2001
Ascoli theorems characterize “precompact” subsets of the set of morphisms between two objects of a category in terms of “equicontinuity” and “pointwise precompactness,” with appropriate definitions of precompactness and equicontinuity in the studied category.
Gert Sonck
wiley   +1 more source