DOI
https://doi.org/10.25772/4BR3-7W75
Defense Date
2009
Document Type
Thesis
Degree Name
Master of Science
Department
Mathematical Sciences
First Advisor
Kevin beanland
Abstract
The Schreier families are a collection of finite subsets of N and have been used to provide refinements of the following Banach space notions: unconditional basic sequences, convergent sequences, spreading model and strictly singular operators to name a few. We use the Schreier families to study subclasses of strictly singular operators on Banach spaces. We also provide a sufficient condition on the strictly singular operators implying every operator falls into one of these subclasses.
Rights
© The Author
Is Part Of
VCU University Archives
Is Part Of
VCU Theses and Dissertations
Date of Submission
May 2009