---

＜電子ブック＞
Algebraic Properties of Generalized Inverses / by Dragana S. Cvetković‐Ilić, Yimin Wei
(Developments in Mathematics. ISSN:2197795X ; 52)

版	1st ed. 2017.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2017
大きさ	VIII, 194 p : online resource
著者標目	*Cvetković‐Ilić, Dragana S author Wei, Yimin author SpringerLink (Online service)
件　名	LCSH:Algebras, Linear FREE:Linear Algebra
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-981-10-6349-7

 類似資料