Upper semicontinuity of joint spectra

Functional analysis owes its origins to the discovery of certain striking analogies between distinct disciplines of mathematics such as analysis, algebra, and geometry. At the turn of the nineteenth century, a number of observations, made periodically over the proceeding years, began to inspire systematic investigations into the common features of these three disciplines, which have developed rather independently of each other for so long. It was found that many concepts of these three areas - analysis, algebra, and geometry - could be incorporated into a single, but more considerably abstract, new discipline which came to be called functional analysis.

This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf.