Algebraic Properties of Generalized Inverses: 52 (Developments in Mathematics, 52) - Tapa dura

Libro 48 de 67: Developments in Mathematics

Cvetković-Ilić, Dragana S.; Wei, Yimin

 
9789811063480: Algebraic Properties of Generalized Inverses: 52 (Developments in Mathematics, 52)
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ISBN 10: 9811063486 ISBN 13: 9789811063480
Editorial: Springer, 2017

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Dragana S. Cvetković‐Ilić is a Professor of Mathematics at the Faculty of Science and Mathematics, University of Nis. She has written in collaboration with other coauthors many articles with a significant contribution to the theory of generalized inverses, linear algebra and operator theory.

Yimin Wei is a Professor at the School of Mathematical Sciences, Fudan University, Shanghai, P.R. of China. He has published four English monographs and over 100 research papers in international journals.

His researches focus on linear algebra, matrix computations in control, and multi-linear algebra (tensors).

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2017
Idioma
Inglés
ISBN 10 
9811063486
ISBN 13 
9789811063480
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
204
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9789811348624: Algebraic Properties of Generalized Inverses: 52 (Developments in Mathematics)

Edición Destacada

ISBN 10:  9811348626 ISBN 13:  9789811348624
Editorial: Springer, 2018
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