The spectral form of the functional model for maximally dissipative operators: A Lagrange identity approach

Brown, Malcolm, Marletta, Marco, Naboko, Serguei, Wood, Ian (2023) The spectral form of the functional model for maximally dissipative operators: A Lagrange identity approach. Algebra i Analiz / St. Petersburg Mathematical Journal, 35 (1). pp. 33-79. ISSN 1061-0022. E-ISSN 1547-7371. (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:99931)

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Abstract

This paper is a contribution to the theory of functional models. In particular, it develops the so-called spectral form of the functional model where the selfadjoint dilation of the operator is represented as the operator of multiplication by an independent variable in some auxiliary vector-valued function space. By using a Lagrange identity, in our version the connection between this auxiliary space and the original Hilbert space will be explicit. A simple example is provided.

Item Type:	Article
Subjects:	Q Science > QA Mathematics (inc Computing science)
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	University of Kent (https://ror.org/00xkeyj56)
Depositing User:	Ian Wood
Date Deposited:	07 Feb 2023 14:41 UTC
Last Modified:	22 Jul 2025 09:14 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/99931 (The current URI for this page, for reference purposes)

University of Kent Author Information

Naboko, Serguei.

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Wood, Ian.

Creator's ORCID:	https://orcid.org/0000-0001-7181-7075
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