## Algebraic Structure of Infinite Dimensional Linear Systems in Hilbert Space

**Title**: Algebraic Structure of Infinite Dimensional Linear Systems in Hilbert Space

**Authors**:

Baras, John S.

**Conference**: Symposium- Advanced School on Algebraic System Theory Vol. 131, pp. 193-203

**Date**: June 16 - June 27, 1975

A module structure for a class of infinite dimensional linear systems in Hilbert space is described. The theory of invariant subspaces and of the Banach algebra H are the fundamental mathematical results used. Several results are derived which demonstrate that for this class of distributed systems, a detailed structure theory can be developed which resembles the corresponding theory for lumped systems.

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