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The Resource Algebraic properties of generalized inverses, Dragana S. Cvetković Ilić, Yimin Wei

Algebraic properties of generalized inverses, Dragana S. Cvetković Ilić, Yimin Wei

Label
Algebraic properties of generalized inverses
Title
Algebraic properties of generalized inverses
Statement of responsibility
Dragana S. Cvetković Ilić, Yimin Wei
Creator
Contributor
Subject
Language
eng
Summary
This book addresses selected topics in the theory of generalized inverses. Following a discussion of the zreverse order lawy 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.--
Member of
Assigning source
Provided by publisher
Cataloging source
YDX
http://library.link/vocab/creatorName
Ilić, Dragana S. Cvetković
Dewey number
515/.7246
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Wei, Yimin
Series statement
Developments in mathematics,
Series volume
v. 52
http://library.link/vocab/subjectName
Linear operators
Label
Algebraic properties of generalized inverses, Dragana S. Cvetković Ilić, Yimin Wei
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
DefInitions and motivations -- Reverse order law -- Completions of operator matrices and generalized inverses -- Generalized inverses and idempotents -- Drazin inverse of a 2 x 2 block matrix -- Additive Results for the Drazin Inverse
Control code
on1005885475
Extent
1 online resource
Form of item
online
Isbn
9789811063497
Isbn Type
(electronic bk.)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-981-10-6349-7
Specific material designation
remote
System control number
(OCoLC)1005885475
Label
Algebraic properties of generalized inverses, Dragana S. Cvetković Ilić, Yimin Wei
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
DefInitions and motivations -- Reverse order law -- Completions of operator matrices and generalized inverses -- Generalized inverses and idempotents -- Drazin inverse of a 2 x 2 block matrix -- Additive Results for the Drazin Inverse
Control code
on1005885475
Extent
1 online resource
Form of item
online
Isbn
9789811063497
Isbn Type
(electronic bk.)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-981-10-6349-7
Specific material designation
remote
System control number
(OCoLC)1005885475

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