Results 1 to 10 of about 828,276 (301)
, 2018 This paper is devoted to the construction of differential geometric invariants for the classification of "Quaternionic" vector bundles. Provided that the base space is a smooth manifold of dimension two or three endowed with an involution that leaves ...
De Nittis, Giuseppe, Gomi, Kiyonori
core
Extremal properties of the set of vector-valued Banach limits
Open Mathematics, 2015 In this manuscript we find another class of real Banach spaces which admit vector-valued Banach limits different from the classes found in [6, 7]. We also characterize the separating subsets of ℓ∞(X).
García-Pacheco Francisco Javier
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Sequential convergence in topological vector spaces
Topology and its Applications, 2000 AbstractIn this paper we study some properties of the topological vector spaces which are sequentially maximal.
I. Morales +2 more
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The Open Mapping and Closed Graph Theorems in Topological Vector Spaces. [PDF]
, 1967 A. P. Robertson, Taqdir Husain
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Implicit Functions from Topological Vector Spaces to Banach Spaces [PDF]
arXiv, 2003 We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.
arxiv
Examples of differentiable mappings into non-locally convex spaces
, 2003 Examples of differentiable mappings into real or complex topological vector spaces with specific properties are given, which illustrate the differences between differential calculus in the locally convex and the non-locally convex case.
Glockner, Helge
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Vector Measures on Topological Spaces [PDF]
gmj, 2007 Abstract Let 𝑋 be a completely regular Hausdorff space, 𝐸 a quasi-complete locally convex space, 𝐶(𝑋) (resp. 𝐶𝑏(𝑋)) the space of all (resp. all, bounded), scalar-valued continuous functions on 𝑋, and 𝐵(𝑋) and 𝐵0(𝑋) be the classes of Borel and Baire subsets of 𝑋.
openaire +1 more source
Extending Topological Abelian Groups by the Unit Circle
Abstract and Applied Analysis, 2013 A twisted sum in the category of topological Abelian groups is a short exact sequence 0→Y→X→Z→0 where all maps are assumed to be continuous and open onto their images. The twisted sum splits if it is equivalent to 0→Y→Y×Z→Z→0.
Hugo J. Bello +2 more
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An Extension of Tychonoff Fixed Point Theorem [PDF]
arXiv, 2019 In this paper, we introduce the concepts of weaknorm, quasi-weaknorm on real vector spaces. By these concepts, we introduce the concept of quasi-locally convex topological vector spaces, which include locally convex topological vector spaces as special cases.
arxiv
Open source vector field topology
SoftwareX, 2021 A myriad of physical phenomena, such as fluid flows, magnetic fields, and population dynamics are described by vector fields. More often than not, vector fields are complex and their analysis is challenging.Vector field topology is a powerful analysis ...
Roxana Bujack +3 more
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