Abstract
For a closed symmetric operator in a Hilbert space and a real regular point of this operator we obtain two ‘natural’ self-adjoint extensions, in terms of the von Neumann method. One of these extensions is used in order to describe the Friedrichs extension of a positive symmetric operator in the context of the von Neumann theory. The theory is illustrated by an example.
Mathematics Subject Classification (2010). Primary 47B25.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Voigt, J. (2015). On Self-adjoint Extensions of Symmetric Operators. In: Arendt, W., Chill, R., Tomilov, Y. (eds) Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics. Operator Theory: Advances and Applications, vol 250. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18494-4_29
Download citation
DOI: https://doi.org/10.1007/978-3-319-18494-4_29
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-18493-7
Online ISBN: 978-3-319-18494-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)