Results 41 to 50 of about 4,855,711 (282)
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 +2 more
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Photonic helicoid-like surface states in chiral metamaterials
Scientific 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
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Advanced Functional Materials, EarlyView.Photoaligned and photopatterned liquid crystal platforms provide programmable control of optical phase, polarization, and spin‐orbit interactions, enabling compact generation of structured light and complex wavefronts. This review highlights how tailored molecular orientations transform simple beams into designed optical fields, opening versatile ...
Le Zhou +6 more
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Advanced Functional Materials, EarlyView.Contrary to conventional expectations, the bulk photovoltaic effect in CuCrP2S6 is enhanced rather than suppressed upon transitioning into the crystallographically centrosymmetric phase. Dynamic Cu‐ion disorder creates transient polar states, which substantially amplifies zero‐bias photocurrent (shift‐current) generation, establishing dynamic symmetry ...
Ryoga Murata, Takao Sasagawa
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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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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 +3 more
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3D Hydrodynamic Flow Lithography
Advanced Functional Materials, EarlyView.ABSTRACT Continuous‐ and stop‐flow lithography are widely used to fabricate multi‐dimensional microstructures whose cross‐sectional morphology is dictated by the flow profile of multiple co‐flowing streams. Here, we introduce three‐dimensional hydrodynamic flow lithography (3D HFL), a platform for programmable generation of multi‐layered flow profiles ...
Yiying Zou +5 more
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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.
Muhammad Arshad, Ismat Beg, Akbar Azam
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Directed bases with net convergence [PDF]
Surveys in Mathematics and its ApplicationsThe 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
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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
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