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100   $a20171007d2017      u|         0
101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAlgebraic Properties of Generalized Inverses /$fby Dragana S. Cvetkovi??Ili?, Yimin Wei
205   $a1st ed. 2017.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2017.
215   $a1 online resource (VIII, 194 p.) 
225 1 $aDevelopments in Mathematics,$x1389-2177 ;$v52
311   $a981-10-6348-6 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $aDe?nitions and motivations -- Reverse order law -- Completions of operator matrices and generalized inverses -- Generalized inverses and idempotents -- Drazin inverse of a 2 × 2 block matrix -- Additive Results for the Drazin Inverse -- Index.
330   $aThis book addresses selected topics in the theory of generalized inverses. Following a discussion of the ?reverse order law? problem and certain problems involving completions of operator matrices, it subsequently presents a specific approach to solving the problem of the reverse order law for {1} -generalized inverses. Particular emphasis is placed on the existence of Drazin invertible completions of an upper triangular operator matrix; on the invertibility and different types of generalized invertibility of a linear combination of operators on Hilbert spaces and Banach algebra elements; on the problem of finding representations of the Drazin inverse of a 2x2 block matrix; and on selected additive results and algebraic properties for the Drazin inverse. In addition to the clarity of its content, the book discusses the relevant open problems for each topic discussed. Comments on the latest references on generalized inverses are also included. Accordingly, the book will be useful for graduate students, PhD students and researchers, but also for a broader readership interested in these topics.
410  0$aDevelopments in Mathematics,$x1389-2177 ;$v52
606   $aMatrix theory
606   $aAlgebra
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
615  0$aMatrix theory.
615  0$aAlgebra.
615 14$aLinear and Multilinear Algebras, Matrix Theory.
676   $a371.805
700   $aCvetkovi??Ili?$b Dragana S$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767490
702   $aWei$b Yimin$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910392729503321
996   $aAlgebraic Properties of Generalized Inverses$92162760
997   $aUNINA