Recent Results on Markov Moment Problem, Polynomial: Approximation and Related Fields in Analysis

by Octav Olteanu

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.

• Format: Paperback
• Language: English
• ISBN: 9975153224
• ISBN13: 9789975153225
• Release Date: September 2020
• Publisher: Generis Publishing
• Length: 100 Pages
• Weight: 0.32 lbs.
• Dimensions: 0.2" x 6.0" x 9.0"