EAN: 9789811063480

ALGEBRAIC PROPERTIES OF GENERALIZED INVERSES - ...

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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