Operator Nodes, Systems, and Operations on Systems

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


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.


Transfer Function Invariant Subspace Output Space Invertible Operator Open Unit Disc 
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Copyright information

© Birkhäuser Verlag AG 2008

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