Heredity in fundamental left complemented algebras [PDF]
In the present paper, we introduce the notion of a fundamental complemented linear space, through continuous projections. This notion is hereditary. Relative to this, we prove that if a certain topological algebra is fundamental, then a concrete subspace
Marina Haralampidou +1 more
doaj
New Optimality Conditions for a Nondifferentiable Fractional Semipreinvex Programming Problem
We study a nondifferentiable fractional programming problem as follows: (P)minx∈Kf(x)/g(x) subject to x∈K⊆X, hi(x)≤0, i=1,2,…,m, where K is a semiconnected subset in a locally convex topological vector space X, f:K→ℝ, g:K→ℝ+ and hi:K→ℝ, i=1,2,…, m. If
Yi-Chou Chen, Wei-Shih Du
doaj +1 more source
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
Variational inequality and complementarity problem in locally convex Hausdorff topological vector space [PDF]
The purpose of this paper is to study variational inequality and complementarity problem in a locally convex Hausdorff topological vector ...
Nanda, S.
core
Multispectral Concentric Grafted Perfect Vector Vortex Beam
Multispectral structured light offers powerful opportunities for increasing information capacity. A multispectral concentric grafted perfect vector vortex beam is proposed to engineer topological charges and polarization. A metasurface can graft different perfect vector vortex beams across concentric spatial regions and extend this concept to ...
Guanchao Wang +6 more
wiley +1 more source
Reverse engineering strut‐and‐tie models for assessing reinforced concrete structures
Abstract Strut‐and‐tie models enable the design of reinforced concrete structures with static or geometrical discontinuities, providing interpretability and control over the load path. These models are valuable for designing discontinuity regions of new structures and for validating nonlinear finite‐element analysis results. However, developing a strut‐
Karin Yu, Walter Kaufmann
wiley +1 more source
Linear operations on locally convex topological vector spaces. [PDF]
Our purpose is to extend, to the class of linear operators on a locally convex space, some of the results of spectral theory. In order to do this we had to introduce some topologies on the space of operators that are not locally convex.
Vera Mendoza, Rigoberto.
core
EXPONENTIAL GENERALIZED DISTRIBUTIONS [PDF]
In this paper we generalize the Fourier transform from the space of tempered distributions to a bigger space called exponential generalized distributions.
Gordon, M., Loura, L.
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A Quantised Push‐Sum Distributed Adaptive Momentum Algorithm for Optimisation Over Directed Networks
ABSTRACT In this paper, we investigate a distributed constrained optimisation problem over directed networks. The agents in the networks conduct local computations and communications, endeavouring to collaboratively minimise the aggregation of all locally known convex cost functions subject to a global constraint set.
Qingguo Lü +6 more
wiley +1 more source
The Embedding of Compact Convex Sets in Locally Convex Spaces [PDF]
In studying compact convex sets it is usually assumed that the compact convex set X is contained in a Hausdorff topological vector space L where the topology on X is the relative topology.
James W. Roberts
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