Linear Topological Spaces
Type of Degreethesis
DepartmentMathematics and Statistics
MetadataShow full item record
In this thesis several topics from Topology, Linear Algebra, and Real Analysis are combined in the study of linear topological spaces. We begin with a brief look at linear spaces before moving on to study some basic properties of the structure of linear topological spaces including the localization of a topological basis. Then we turn our attention to linear spaces with a metric topology. In particular, we consider problems involving normed linear spaces, bounded linear transformations, and Hilbert spaces.
- Linear Topological Spaces.pdf