Results 51 to 60 of about 28,903 (292)
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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On an equivalence of topological vector space valued cone metric spaces and metric spaces [PDF]
, 2012 Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. Recently this has been applied by Du (2010) [14] to investigate
Hüseyi̇n Çakallı +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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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
wiley +1 more source
Topological Quasilinear Spaces
Abstract and Applied Analysis, 2012 We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986). He introduced a kind of the concept of a quasilinear spaces both including a classical linear
Yılmaz Yılmaz +2 more
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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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Effect of Optical Illumination on Bubble Nanodomains
Advanced Functional Materials, EarlyView.Stable surface‐confined nanoscale bubble domains are created and manipulated in PMN‐PT single crystals. Under above‐bandgap illumination, these bubble nanodomains remain unchanged. However, upon illumination cessation, they rapidly expand to switch the entire crystal surface, due to the accumulation of a large reservoir of electrons at the crystal ...
Haoze Zhang +8 more
wiley +1 more source
String In Topological Vector Space [PDF]
, 2013 Introducing the concept of string resulted in a vector space one important step for further Functional Analysis. This made possible the availability of the most important results of this field in other classes spaces.
Valentina SHEHU; Department of Mathematic, Tirana University +1 more
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