Results 31 to 40 of about 295,574 (222)

Spectral Radii of Bounded Operators on Topological Vector Spaces [PDF]

open access: yes, 2000
In this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological ...
Troitsky, Vladimir G.
core  

A characterization of singular endomorphisms of a barrelled Pták space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
The concept of topological divisor of zero has been extended to endomorphisms of a locally convex topological vector space (LCTVS). A characterization of singular endomorphisms, similar to that of Yood [1], is obtained for endomorphisms of a barrelled ...
Damir Franekić
doaj   +1 more source

Photonic helicoid-like surface states in chiral metamaterials

open access: yesScientific Reports, 2023
We investigate the photonic topological phases in chiral metamaterials characterized by the magnetoelectric tensors with diagonal chirality components. The underlying medium is considered a photonic analogue of the topological semimetal featured with a ...
Ruey-Lin Chern
doaj   +1 more source

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

open access: yesMathematics, 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   +2 more
doaj   +1 more source

Topological Vector-Space Valued Cone Banach Spaces

open access: yesInternational 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   +2 more
doaj   +2 more sources

Primal Topologies on Finite-Dimensional Vector Spaces Induced by Matrices

open access: yesInternational 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   +3 more
doaj   +1 more source

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

open access: yesInternational 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

Non Abelian TQFT and scattering of self dual field configuration

open access: yes, 1999
A non-abelian topological quantum field theory describing the scattering of self-dual field configurations over topologically non-trivial Riemann surfaces, arising from the reduction of 4-dim self-dual Yang-Mills fields, is introduced.
A. Mendoza   +27 more
core   +1 more source

Directed bases with net convergence [PDF]

open access: yesSurveys 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   +2 more
doaj  

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

open access: yesInternational 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

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