Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval

Title:

Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval

Creator:

Hilscher, Roman Šimon and Zemánek, Petr

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:78ffe7f3-ed9f-444b-badf-0caf73723a2a
uuid:78ffe7f3-ed9f-444b-badf-0caf73723a2a
doi:10.21136/MB.2010.140698

Subject:

linear Hamiltonian system, Friedrichs extension, self-adjoint operator, recessive solution, quadratic functional, and positivity conjoined basis

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper we consider a linear operator on an unbounded interval associated with a matrix linear Hamiltonian system. We characterize its Friedrichs extension in terms of the recessive system of solutions at infinity. This generalizes a similar result obtained by Marletta and Zettl for linear operators defined by even order Sturm-Liouville differential equations.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

209-222

Source:

Mathematica bohemica | 2010 Volume:135 | Number:2

Harvested from:

CDK

Metadata only:

false