Complex Analysis and Operator Theory

, Volume 11, Issue 4, pp 947–960 | Cite as

On a Class of Block Operator Matrices in System Theory

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Abstract

We consider a class of block operator matrices arising in the study of scattering passive systems, especially in the context of boundary control problems. We prove that these block operator matrices are indeed a subclass of block operator matrices considered in (Trostorff in J Funct Anal 267(8):2787–2822, 2014), which can be characterized in terms of an associated boundary relation.

Keywords

Maximal monotone operators Boundary data spaces Selfadjoint relations 

Mathematics Subject Classification

47N20 47B44 93A30 
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Notes

Acknowledgments

The author would like to thank George Weiss, who asked the question on the relation between the operators considered in [10] and [11] during a workshop in Leiden in 2014.

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Copyright information

© Springer International Publishing 2016

Authors and Affiliations

  1. 1.Institut für Analysis, Fachrichtung MathematikTechnische Universität DresdenDresdenGermany

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