Role of Shift Vector in High-Harmonic Generation from Noncentrosymmetric Topological Insulators under Strong Laser Fields [PDF]
Physical Review X, 2022 As a promising avenue to obtain a new extreme ultraviolet light source and detect electronic properties, high-harmonic generation (HHG) has been actively developed in both theory and experiment.
Chen Qian +8 more
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Fixed-Point Theory on a Frechet Topological Vector Space
International Journal of Mathematics and Mathematical Sciences, 2011 We establish some versions of fixed-point theorem in a Frechet topological vector space E. The main result is that every map A=BC (where B is a continuous map and C is a continuous linear weakly compact operator) from a closed convex subset of a Frechet ...
Afif Ben Amar +2 more
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Geometric characterization of non-Hermitian topological systems through the singularity ring in pseudospin vector space [PDF]
Physical review B, 2019 This work unveils how geometric features of two-band non-Hermitian Hamiltonians can completely classify the topology of their eigenstates and energy manifolds.
Linhu Li, Ching Hua Lee, Jiangbin Gong
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Equivalence of weak and strong modes of measures on topological vector spaces [PDF]
Inverse Problems, 2018 A strong mode of a probability measure on a normed space X can be defined as a point u such that the mass of the ball centred at u uniformly dominates the mass of all other balls in the small-radius limit.
Han Cheng Lie, T. J. Sullivan
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Science Journal of University of Zakho, 2017 The main objective of this paper is to present the study of α-topological vector spaces. α-topological vector spaces are defined by using α-open sets and α-irresolute mappings.
Hariwan Z. Ibrahim
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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
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Fixed Point in Topological Vector Space-Valued Cone Metric Spaces
Fixed Point Theory and Applications, 2010 We obtain common fixed points of a pair of mappings satisfying a generalized contractive type condition in TVS-valued cone metric spaces. Our results generalize some well-known recent results in the literature.
Beg Ismat, Arshad Muhammad, Azam Akbar
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Topological Structures of Energy Flow: Poynting Vector Skyrmions. [PDF]
Physical Review Letters, 2023 Topological properties of energy flow of light are fundamentally interesting and may introduce novel physical phenomena associated with directional light scattering and optical trapping.
Sicong Wang +9 more
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Algebraic characterisation of hyperspace corresponding to topological vector space [PDF]
Journal of Hyperstructures, 2023 Let X be a Hausdor topological vector space over the field of real or complex numbers. When Vietoris topology is given,the hyperspace ℘(X) of all nonempty compact subsets of X forms a topological exponential vector space over the same field. Exponential
Jayeeta Saha, Sandip Jana
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A countable dense homogeneous topological vector space is a Baire space [PDF]
Proceedings of the American Mathematical Society, 2020 We prove that every homogeneous countable dense homogeneous topological space containing a copy of the Cantor set is a Baire space. In particular, every countable dense homogeneous topological vector space is a Baire space.
T. Dobrowolski +2 more
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