Extensions of symmetric operators I: The inner characteristic function case

Extensions of symmetric operators I: The inner characteristic function case

Given a symmetric linear transformation on a Hilbert space, a natural problem to consider is the characterization of its set of symmetric extensions. This problem is equivalent to the study of the partial isometric extensions of a fixed partial isometry. We provide a new function theoretic character...

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Bibliographic Details
Main Author: Martin R.T.W.
Format: Article
Language:English
Published: De Gruyter 2015-07-01
Series:Concrete Operators
Subjects:
symmetric operators
partial isometries
self-adjoint and unitary extensions
reproducing kernel Hilbert spaces of analytic functions
Hardy and deBranges Rovnyak spaces
Livšic characteristic function
Online Access:http://www.degruyter.com/view/j/conop.2014.2.issue-1/conop-2015-0004/conop-2015-0004.xml?format=INT

Internet

http://www.degruyter.com/view/j/conop.2014.2.issue-1/conop-2015-0004/conop-2015-0004.xml?format=INT

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