Abstract
In spectral theory of families of commuting self-adjoint operators (as in the theory of a single self-adjoint operator) one considers two kinds of problems: firstly, the study of their common spectral properties and secondly, the decomposition of H with respect to their common generalized eigenvectors. In what follows we study the classical spectral properties of countable families of commuting self-adjoint operators.
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
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Samoilenko, Y.S. (1991). Spectral Analysis of Countable Families of Commuting Self-Adjoint Operators (CSO). In: Spectral Theory of Families of Self-Adjoint Operators. Mathematics and Its Applications, vol 57. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3806-2_3
Download citation
DOI: https://doi.org/10.1007/978-94-011-3806-2_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5693-9
Online ISBN: 978-94-011-3806-2
eBook Packages: Springer Book Archive