Results 41 to 50 of about 4,630 (199)
Regularity in Topological Modules
Mathematics, 2020 The framework of Functional Analysis is the theory of topological vector spaces over the real or complex field. The natural generalization of these objects are the topological modules over topological rings.
Francisco Javier Garcia-Pacheco
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Webbed spaces, double sequences, and the Macke convergence condition
International Journal of Mathematics and Mathematical Sciences, 1999 In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space satisfies the Mackey convergence condition. In the more general frame of topological vector spaces, this theorem and its inverse are studied. The techniques used are
Armando García-Martínez
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Locally convex approach spaces
Applied General Topology, 2003 We continue the investigation of suitable structures for quantified functional analysis, by looking at the notion of local convexity in the setting of approach vector spaces as introduced in [6].
M. Sioen, S. Verwulgen
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On a Certain Generalized Functional Equation for Set-Valued Functions
Mathematics, 2020 The aim of the paper is to generalize results by Sikorska on some functional equations for set-valued functions. In the paper, a tool is described for solving a generalized type of an integral-functional equation for a set-valued function F:X→cc(Y ...
Yaroslav Bazaykin +3 more
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A remark on generalized variational inequalities in locally convex topological vector spaces
Applied Mathematics Letters, 1997 AbstractIn this note, a general existence theorem of generalized variational inequalities for quasi-monotone set-valued mappings in locally convex topological vector spaces has been established. Our result includes corresponding results in recent literature as special cases.
Tarafdar, E., Yuan, X. Z.
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Topological properties and matrix transformations of certain ordered generalized sequence spaces
International Journal of Mathematics and Mathematical Sciences, 1995 In this note, we carry out investigations related to the mixed impact of ordering and topological structure of a locally convex solid Riesz space (X,τ) and a scalar valued sequence space λ, on the vector valued sequence space λ(X) which is formed and ...
Manjul Gupta, Kalika Kaushal
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Deep Underground Science and Engineering, EarlyView.Particle rounding effects comparison of different methods: (a), (b), and (c) are the rounding results using the B‐spline curve method with different R; (d), (e), and (f) are the results of vertex rounding substitution method with different rounding radii.
Jiabin Dong +6 more
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Biomimetic Robotics and Intelligence: A Survey
SmartBot, EarlyView.Biomimetic robotics and intelligence, inspired by biological systems, integrate biology, engineering, and AI, develops robots capable of adapting to complex environments. By mimicking natural structures and cognitive processes, and employing algorithms like neural networks and genetic algorithms, these systems enhance autonomy and problem‐solving. This
Yixuan Sheng +6 more
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A formula to calculate the spectral radius of a compact linear operator
International Journal of Mathematics and Mathematical Sciences, 1997 There is a formula (Gelfand's formula) to find the spectral radius of a linear operator defined on a Banach space. That formula does not apply even in normed spaces which are not complete.
Fernando Garibay Bonales +1 more
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Small, EarlyView.Nano‐pulling induces stabilization, reorganization, and reorientation of the microtubule network. The nucleus of stretched cells experiences increased lateral tension, becomes more spherical, and develops surface grooves. At the level of gene expression regulation, changes in nuclear morphology induce global chromatin remodeling, leading to reduced ...
Alessandro Falconieri +7 more
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