Abstract
We give necessary and sufficient conditions for real sequences to be the spectra of selfadjoint extensions of an entire operator whose domain may be non-dense. For this spectral characterization we use de Branges space techniques and a generalization of Krein’s functional model for simple, regular, closed, symmetric operators with deficiency indices (1,1). This is an extension of our previous work in which similar results were obtained for densely defined operators.
Mathematics Subject Classification (2010). 46E22, 47A25, 47B25, 47N99.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Basel
About this paper
Cite this paper
Silva, L.O., Toloza, J.H. (2013). The Spectra of Selfadjoint Extensions of Entire Operators with Deficiency Indices (1,1). In: Janas, J., Kurasov, P., Laptev, A., Naboko, S. (eds) Operator Methods in Mathematical Physics. Operator Theory: Advances and Applications, vol 227. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0531-5_9
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0531-5_9
Published:
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0530-8
Online ISBN: 978-3-0348-0531-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)