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- Author: Octav Olteanu
- Publisher: Generis Publishing
- ISBN-10: 9975153224
- ISBN-13: 9789975153225
- Format: 15.2 x 22.9 x 0.5 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
Recent Results on Markov Moment Problem, Polynomial (e-book) (used book) | bookbook.eu
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Description
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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- Author: Octav Olteanu
- Publisher: Generis Publishing
- ISBN-10: 9975153224
- ISBN-13: 9789975153225
- Format: 15.2 x 22.9 x 0.5 cm, minkšti viršeliai
- Language: English English
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.
Reviews