Spectral Stieltjes-Type Integration and Some Applications
Functional Analysis
2011-03-08 v2 Spectral Theory
Abstract
This paper presents Stieltjes-type integration for operator-valued functions with respect to spectral families. The relation between Riemann-Stieltjes integrals associated with some classes of spectral families including, in particular, those that arise in the context of the Stone representation theorem for Banach spaces is established. The developed approach is applied to the structural analysis of the operators commuting with a one-parameter representation satisfying the Generalized Stone theorem.
Keywords
Cite
@article{arxiv.math/0511637,
title = {Spectral Stieltjes-Type Integration and Some Applications},
author = {Anna Skripka},
journal= {arXiv preprint arXiv:math/0511637},
year = {2011}
}
Comments
This paper has been withdrawn by the author. This paper has been substantially rewritten