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Preserver Problems on Spaces of Matrices Author(s): Xian Zhang Xiaomin Tang Chongguang Cao Publisher: Science Press Published Date: 2007 ISBN: 978-7-03-018931-8/O.2744 Pages: 409 Language: English Type: Book Cover: Hard Cover Our Price: $80.30   Avail: In-Stock Description The aim of this book is to provide an introduction to current advances of preserver problems on matrices and present the basic methods of studying preserver problems. In order to ensure that the content is self-contained, we took some conclusions and their proofs from other books or papers, which will be convenient to the readers. It is also intended to offer a collection of references on preserver problems on matrices. Main Contents Preface Notation Chapter1 Introduction to preserver problems Chapter2 Preservers of the smallest nonzero rank Chapter3 Additive rank-additivity preservers and applications Chapter4 Additive preservers of rank equivalence and applications Chapter5 Linear square-zero preservers on spaces of square matrices Chapter6 Preservers of k-power/k-potent Chapter7 Preservers of inverses of matrices Chapter8 Preservers of generalized inverses of matrices Chapter9 Linear preservers of involutory matrices Chapter10 Additive adjoint preservers Chapter11 Preservers of multiplication Appendix A Fitting decomposition of a matrix Appendix B Canonical form of a rank-additive matrix pair Appendix C Canonical form of a matrix triple Appendix D Adjoint matrices Bibliography Index

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