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Operator Nodes, Systems, and Operations on Systems

Part of the Operator Theory: Advances and Applications book series (OT, volume 178)

Abstract

In this chapter the concepts of an operator node (abstract system) and its transfer function are introduced and developed systematically. Important operations on operator nodes (abstract systems) and the corresponding operations on the associated transfer functions are studied in detail: inversion (Section 2.2), products (Section 2.3) and factorization (Section 2.4). With an eye on future applications, a detailed analysis of the relationships between the various results is given in the final section.

Keywords

Transfer Function Invariant Subspace Output Space Invertible Operator Open Unit Disc 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2008

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