Results 31 to 40 of about 979 (94)
On linearization and uniqueness of preduals
Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.Abstract 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)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
wiley +1 more source
The Mackey convergence condition for spaces with webs
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 473-483, 1988., 1988 If each sequence converging to 0 in a locally convex space is also Mackey convergent to 0, that space is said to satisfy the Mackey convergence condition. The problem of characterizing those locally convex spaces with this property is still open.
Thomas E. Gilsdorf
wiley +1 more source
Applications of bornological covering properties in metric spaces [PDF]
Indagationes Mathematicae, 2020 Using the idea of strong uniform convergence on bornology, Caserta, Di Maio and Ko inac studied open covers and selection principles in the realm of metric spaces (associated with a bornology) and function spaces (w.r.t. the topology of strong uniform convergence).
Chandra, Debraj +2 more
openaire +3 more sources
B-Bounded cohomology and applications
, 2012 A discrete group with word-length (G,L) is B-isocohomological for a bounding classes B if the comparison map from B-bounded cohomology to ordinary cohomology (with complex coefficients) is an isomorphism; it is strongly B-isocohomological if the same is ...
Ji, R., Ogle, C., Ramsey, B.
core +1 more source
On the sheafyness property of spectra of Banach rings
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract Let R$R$ be a non‐Archimedean Banach ring, satisfying some mild technical hypothesis that we will specify later on. We prove that it is possible to associate to R$R$ a homotopical Huber spectrum Spah(R)${\rm Spa\,}^h(R)$ via the introduction of the notion of derived rational localization.
Federico Bambozzi, Kobi Kremnizer
wiley +1 more source
A note on the inverse function theorem of Nash and Moser
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 2, Page 361-364, 1986., 1986 The Nash‐Moser inverse function theorem is proved for different kind of differentiabilities.
Mikael Lindstrom
wiley +1 more source
Combable groups have group cohomology of polynomial growth
, 2018 Group cohomology of polynomial growth is defined for any finitely generated discrete group, using cochains that have polynomial growth with respect to the word length function.
Allcock +13 more
core +1 more source
Degrees of (L, M)-fuzzy bornologies
Open MathematicsThis article is devoted to present the degree to which a mapping defined from LX{L}^{X} to M,M, which is an (L,M)\left(L,M)-fuzzy bornology in the sense of Liang et al.
Çetkin Vildan
doaj +1 more source
Functional analysis on two-dimensional local fields
, 2013 We establish how a two-dimensional local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces from a functional analytic point of view: in particular we study bounded, c-
Camara, Alberto
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Extensions and Applications of Locally Solid Convergence Structures
MathematicsLocally solid convergence structures provide a unifying framework for both topological and non-topological convergences in vector lattice theory. In this paper, we explore various extensions and applications of locally solid convergence structures.
Saeed Hashemi Sababe
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