Markov Operators, Positive Semigroups and Approximation Processes /

Markov Operators, Positive Semigroups and Approximation Processes / / Francesco Altomare, Mirella Cappelletti, Vita Leonessa, Ioan Rasa.

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This research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes. These mathematical objects are generated by arbitrary Markov operators acting on spaces of continuous funct...

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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2015 Part 1
VerfasserIn:
Altomare, Francesco,
Cappelletti, Mirella,
Leonessa, Vita,
Rasa, Ioan,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2014]
©2015
Year of Publication:2014
Language:English
Series:De Gruyter Studies in Mathematics , 61
Online Access:
Physical Description:1 online resource (314 p.)
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245 1 0 |a Markov Operators, Positive Semigroups and Approximation Processes /  |c Francesco Altomare, Mirella Cappelletti, Vita Leonessa, Ioan Rasa. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2014] 
264 4 |c ©2015 
300 |a 1 online resource (314 p.) 
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490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 61 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t Introduction --   |t Guide to the reader and interdependence of sections --   |t Notation --   |t 1. Positive linear operators and approximation problems --   |t 2. C0-semigroups of operators and linear evolution equations --   |t 3. Bernstein-Schnabl operators associated with Markov operators --   |t 4. Differential operators and Markov semigroups associated with Markov operators --   |t 5. Perturbed differential operators and modified Bernstein-Schnabl operators --   |t Appendices --   |t Bibliography --   |t Symbol index --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a This research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes. These mathematical objects are generated by arbitrary Markov operators acting on spaces of continuous functions defined on compact convex sets; the study of the interrelations between them constitutes one of the distinguishing features of the book. Among other things, this theory provides useful tools for studying large classes of initial-boundary value evolution problems, the main aim being to obtain a constructive approximation to the associated positive C0-semigroups by means of iterates of suitable positive approximating operators. As a consequence, a qualitative analysis of the solutions to the evolution problems can be efficiently developed. The book is mainly addressed to research mathematicians interested in modern approximation theory by positive linear operators and/or in the theory of positive C0-semigroups of operators and evolution equations. It could also serve as a textbook for a graduate level course. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) 
650 0 |a Boundary value problems. 
650 0 |a Differential operators. 
650 0 |a Markov operators. 
650 0 |a Semigroups. 
650 4 |a Markov Semigruppen. 
650 4 |a Positive Approximationsprozesse. 
650 7 |a MATHEMATICS / Functional Analysis.  |2 bisacsh 
700 1 |a Cappelletti, Mirella,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Leonessa, Vita,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Rasa, Ioan,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t EBOOK PACKAGE Complete Package 2014  |z 9783110369526  |o ZDB-23-DGG 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t EBOOK PACKAGE Mathematics, Physics 2014  |z 9783110370355  |o ZDB-23-DEM 
776 0 |c EPUB  |z 9783110386417 
776 0 |c print  |z 9783110372748 
856 4 0 |u https://doi.org/10.1515/9783110366976 
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