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Catalogue Information
Field name	Details
Dewey Class	512.5
Title	Algebraic Properties of Generalized Inverses ([EBook]) / by Dragana S. Cvetković‐Ilić, Yimin Wei.
Author	Cvetković‐Ilić, Dragana S.
Added Personal Name	Wei, Yimin author.
Other name(s)	SpringerLink (Online service)
Publication	Singapore : : Springer Singapore : : Imprint: Springer, , 2017.
Physical Details	VIII, 194 p. : online resource.
Series	Developments in mathematics 1389-2177 ; ; 52
ISBN	9789811063497
Summary Note	This 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.:
Contents note	Deﬁnitions 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-981-10-6349-7
Links to Related Works	Subject References: Algebra . Linear and Multilinear Algebras, Matrix Theory . Mathematics . Matrix theory . Authors: Cvetković‐Ilić, Dragana S. . Wei, Yimin . Corporate Authors: SpringerLink (Online service) . Series: Developments in mathematics . Classification: 512.5 .

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Algebraic Properties of Generalized Inverses

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