LEADER 03938nam 2200733 450 001 9910811237403321 005 20200903223051.0 010 $a3-11-036697-5 010 $a3-11-038641-0 024 7 $a10.1515/9783110366976 035 $a(CKB)3360000000515436 035 $a(EBL)1759934 035 $a(SSID)ssj0001421365 035 $a(PQKBManifestationID)11748473 035 $a(PQKBTitleCode)TC0001421365 035 $a(PQKBWorkID)11410460 035 $a(PQKB)11179400 035 $a(DE-B1597)428766 035 $a(OCoLC)922637618 035 $a(DE-B1597)9783110366976 035 $a(Au-PeEL)EBL1759934 035 $a(CaPaEBR)ebr11015866 035 $a(CaONFJC)MIL807328 035 $a(OCoLC)903956161 035 $a(MiAaPQ)EBC1759934 035 $a(PPN)187998043 035 $a(EXLCZ)993360000000515436 100 $a20150214h20142014 uy 0 101 0 $aeng 135 $aur|nu---|u||u 181 $ctxt 182 $cc 183 $acr 200 00$aMarkov operators, positive semigroups, and approximation processes /$fFrancesco Altomare [and three others] 210 1$aBerlin, Germany :$cDe Gruyter,$d2014. 210 4$dİ2014 215 $a1 online resource (326 p.) 225 1 $aDe Gruyter Studies in Mathematics,$x0179-0986 ;$vVolume 61 300 $aDescription based upon print version of record. 311 $a3-11-036698-3 311 $a3-11-037274-6 320 $aIncludes bibliographical references and indexes. 327 $tFront matter --$tPreface --$tContents --$tIntroduction --$tGuide to the reader and interdependence of sections --$tNotation --$t1. Positive linear operators and approximation problems --$t2. C0-semigroups of operators and linear evolution equations --$t3. Bernstein-Schnabl operators associated with Markov operators --$t4. Differential operators and Markov semigroups associated with Markov operators --$t5. Perturbed differential operators and modified Bernstein-Schnabl operators --$tAppendices --$tBibliography --$tSymbol index --$tIndex 330 $aThis research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes. These mathematical objects are generated by arbitrary Markov operators acting on spaces of continuous functions defined on compact convex sets; the study of the interrelations between them constitutes one of the distinguishing features of the book. Among other things, this theory provides useful tools for studying large classes of initial-boundary value evolution problems, the main aim being to obtain a constructive approximation to the associated positive C0-semigroups by means of iterates of suitable positive approximating operators. As a consequence, a qualitative analysis of the solutions to the evolution problems can be efficiently developed. The book is mainly addressed to research mathematicians interested in modern approximation theory by positive linear operators and/or in the theory of positive C0-semigroups of operators and evolution equations. It could also serve as a textbook for a graduate level course. 410 0$aDe Gruyter studies in mathematics ;$vVolume 61. 606 $aBoundary value problems 606 $aDifferential operators 606 $aSemigroups 606 $aMarkov operators 615 0$aBoundary value problems. 615 0$aDifferential operators. 615 0$aSemigroups. 615 0$aMarkov operators. 676 $a515/.48 686 $aSK 620$2rvk 700 $aAltomare$b Francesco, $4aut$4http://id.loc.gov/vocabulary/relators/aut$060983 702 $aAltomare$b Francesco$f1951- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811237403321 996 $aMarkov operators, positive semigroups, and approximation processes$93943038 997 $aUNINA