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From the Publisher"The text is well suited for an advanced course on operator theory or mathematical system theory."
A. Bultheel, Mathematical Reviews
This volume presents an introduction to the common ground between operator theory and linear systems theory. Pure mathematical topics are included such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be suitable for a course in functional analysis. The book also includes applications to partial differential equations, the stability and stabilization of linear systems, power signal spaces, and delay systems, treated from an input/output point of view.
1. Operators and Hardy spaces; 2. Closed operators; 3. Shift-invariance and causality; 4. Stability and stabilization; 5. Spaces of persistent signals; 6. Delay systems.