Eigenvalues and Stability Properties of Multiplication Operators and Multiplication Semigroups
Functional Analysis
2013-02-19 v3
Abstract
We investigate uniform, strong, weak and almost weak stability of multiplication semigroups on Banach space valued -spaces. We show that, under certain conditions, these properties can be characterized by analogous ones of the pointwise semigroups. Using techniques from selector theory, we prove a spectral mapping theorem for the point spectra of the pointwise and global semigroups and apply this as a major tool for determining almost weak stability.
Cite
@article{arxiv.1202.1461,
title = {Eigenvalues and Stability Properties of Multiplication Operators and Multiplication Semigroups},
author = {Retha Heymann},
journal= {arXiv preprint arXiv:1202.1461},
year = {2013}
}