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Algebraic Properties of Generalized Inverses (Paperback, Softcover reprint of the original 1st ed. 2017)
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Algebraic Properties of Generalized Inverses (Paperback, Softcover reprint of the original 1st ed. 2017)
Series: Developments in Mathematics, 52
Expected to ship within 10 - 15 working days
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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.
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