Results 41 to 50 of about 287,361 (225)

Topological Vector-Space Valued Cone Banach Spaces

International Journal of Analysis and Applications, 2014
In this paper we introduce the notion of tvs-cone normed spaces, discuss related topological concepts and characterize the tvs-cone norm in various directions. We construct generalize locally convex tvs generated by a family of tvs-cone seminorms.
Nayyar Mehmood, Akbar Azam, Suzana Aleksic   +2 more
doaj   +2 more sources

Derivative for Functions f:G→H, Where G Is a Metric Divisible Group

Mathematics, 2022
In this paper, a derivative for functions f:G→H, where G is any metric divisible group and H is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Role.
Héctor Andrés Granada Díaz, Simeón Casanova Trujillo, Fredy E. Hoyos   +2 more
doaj   +1 more source

Quantization and $2\pi$ Periodicity of the Axion Action in Topological Insulators

, 2010
The Lagrangian describing the bulk electromagnetic response of a three-dimensional strong topological insulator contains a topological `axion' term of the form '\theta E dot B'.
J. D. Jackson, M. Franz, M. M. Vazifeh, M. Nakahara   +3 more
core   +1 more source

The nonstandard theory of topological vector spaces [PDF]

Transactions of the American Mathematical Society, 1972
In this paper the nonstandard theory of topological vector spaces is developed, with three main objectives: (1) creation of the basic nonstandard concepts and tools; (2) use of these tools to give nonstandard treatments of some major standard theorems; (3) construction of the nonstandard hull of an arbitrary topological vector space, and the beginning ...
C. Ward Henson, L. C. Moore
openaire   +3 more sources

Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces

International Journal of Mathematics and Mathematical Sciences, 2009
We introduced a notion of topological vector space valued cone metric space and obtained some common fixed point results. Our results generalize some recent results in the literature.
Ismat Beg, Akbar Azam, Muhammad Arshad
doaj   +1 more source

Primal Topologies on Finite-Dimensional Vector Spaces Induced by Matrices

International Journal of Mathematics and Mathematical Sciences, 2023
Given an matrix A, considered as a linear map A:ℝn⟶ℝn, then A induces a topological space structure on ℝn which differs quite a lot from the usual one (induced by the Euclidean metric). This new topological structure on ℝn has very interesting properties
Luis Mejías, Jorge Vielma, Ángel Guale, Ebner Pineda   +3 more
doaj   +1 more source

Arhangel'ski\u{\i} sheaf amalgamations in topological groups

, 2016
We consider amalgamation properties of convergent sequences in topological groups and topological vector spaces. The main result of this paper is that, for arbitrary topological groups, Nyikos's property $\alpha_{1.5}$ is equivalent to Arhangel'ski\u{\i}'
Tsaban, Boaz, Zdomskyy, Lyubomyr
core   +1 more source

Directed bases with net convergence [PDF]

Surveys in Mathematics and its Applications
The concept of a basis having a sequence of elements in a topological vector space is extended to a concept of a directed basis having a net of elements in a topological vector space.
AR. Murugan, C. Ganesa Moorthy, CT. Ramasamy   +2 more
doaj  

Multiplication operators on weighted spaces in the non-locally convex framework

International Journal of Mathematics and Mathematical Sciences, 1997
Let X be a completely regular Hausdorff space, E a topological vector space, V a Nachbin family of weights on X, and CV0(X,E) the weighted space of continuous E-valued functions on X. Let θ:X→C be a mapping, f∈CV0(X,E) and define Mθ(f)=θf (pointwise). In
L. A. Khan, A. B. Thaheem
doaj   +1 more source

Part I. The Cosmological Vacuum from a Topological Perspective [PDF]

, 2007
This article examines how the physical presence of field energy and particulate matter can be interpreted in terms of the topological properties of space-time.
Kiehn, R. M.
core