## About this book

### Introduction

This book is dedicated to relatively recent results in linear algebra with indefinite inner product. It also includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications have been developed in the last fifty years, and all of them are based on linear algebra in spaces with indefinite inner product. The latter forms a new more or less independent branch of linear algebra and we gave it the name of indefinite linear algebra. This new subject in linear algebra is presented following the lines and principles of a standard linear algebra course.

This book has the structure of a graduate text in which chapters of advanced linear algebra form the core. This together with the many significant applications and accessible style will make it widely useful for engineers, scientists and mathematicians alike.

### Keywords

Inner product spaces Linear functional analysis Matrix Operator theory algebra linear algebra

#### Authors and affiliations

- Israel Gohberg
- Peter Lancaster
- Leiba Rodman

- 1.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityRamat AvivIsrael
- 2.Department of Mathematics and StatisticsUniversity of CalgaryCalgary, AlbertaCanada
- 3.Department of MathematicsCollege of William and MaryWilliamsburgUSA

### Bibliographic information