Invariant Subspaces of Matrices with Applications

Partial table of contents: FUNDAMENTAL PROPERTIES OF INVARIANT SUBSPACES AND APPLICATIONS. Invariant Subspaces: Definition, Examples and First Properties. Jordan Form and Invariant Subspaces. Coinvariant and Semiinvariant Subspaces. Jordan Form for Extensions and Completions. ALGEBRAIC PROPERITES OF INVARIANT SUBSPACES. Algebras of Matrices and Invariant Subspaces. Real Linear Transformations. TOPOLOGICAL PROPERTIES OF INVARIANT SUBSPACES AND STABILITY. The Metric Space of Subspaces. The Metric Space of Invariant Subspaces. Continuity and Stability of Invariant Subspaces. ANALYTIC PROPERTIES OF INVARIANT SUBSPACES. Analytic Families of Subspaces. Jordan Form of Analytic Matrix Functions. Applications. Appendix. List of Notations and Conventions. References.Gohberg, Israel is the author of 'Invariant Subspaces of Matrices with Applications', published 1986 under ISBN 9780471842606 and ISBN 0471842605.