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

Brown, Malcolm, Marletta, Marco ORCID: https://orcid.org/0000-0003-1546-4046, Naboko, Serguei and Wood, Ian 2024. The spectral form of the functional model for maximally dissipative operators: A Lagrange identity approach. St. Petersburg Mathematical Journal 35 , pp. 25-59. 10.1090/spmj/1792

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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. With the help of a Lagrange identity, in the present version the relationship between this auxiliary space and the original Hilbert space will be explicit. A simple example is provided.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Mathematics
Publisher:	American Mathematical Society
ISSN:	1061-0022
Date of First Compliant Deposit:	30 January 2024
Date of Acceptance:	9 January 2024
Last Modified:	08 Nov 2024 20:30
URI:	https://orca.cardiff.ac.uk/id/eprint/165946

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