Title: Recent Results on Markov Moment Problem, Polynomial: Approximation and Related Fields in Analysis
Publisher: Amazon Digital Services LLC - Kdp Sep 2020
Publication Date: 2020
Language: English
ISBN 10: 9975153224
ISBN 13: 9789975153225
Binding: Taschenbuch
Condition: Neu
Dimensions: 229 millimeters width by 152 millimeters height by 5 millimeters depth
Weight: 145 grams

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The main purposes of this book are: 1) applying generalized Hahn-Banach type results and relatively recent results on polynomial approximation on unbounded subsets to the existence and uniqueness of the solutions for some Markov moment problems; determining the norms of the linear solutions by means of the continuous convex dominating operator; Mazur-Orlicz theorems in concrete spaces are also under attention; 2) studding properties of convex functions and operators and related optimization; 3) emphasizing applications of a global Newton like method for convex operators and its relationship with contraction principle; 4) pointing out invariant subspaces and invariant balls for a class of bounded linear operators; 5) passing from results of linear functional analysis to the nonlinear case; 6) proving topological versions for sandwich type results over simplexes and over finite-simplicial sets; links between the first and the last chapters are also discussed.

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