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We study the metric projection onto the closed convex cone in a real Hilbert space generated by a sequence. We provide a sufficient condition under which this closed convex cone can be more explicitly described. Then by adapting classical results on general convex cones, we give a useful description of the metric projection of a vector onto such convex cone. As applications, we obtain the best approximations of many concrete functions inL2[-1,1]
About the speaker
Yanqi Qiu is a professor in the Institute of Mathematics in Chinese Academy of Sciences. His research interests are focused on interactions between probability theory and analysis, including standard and on commutative functional analysis and harmonic analysis, standard probability theory and non commutative probability theory, random matrices, asymptotic representation theory and probability in high dimensional spaces, ergodic theory in the p-adic fields etc.