Metrics, Norms, Inner Products, and Operator Theory
Heil, Christopher![Metrics, Norms, Inner Products, and Operator Theory](https://support.digitalhusky.com/media/annotations/sorted/328/32808558/CHSBZCOP0332808558.jpg)
This text is a self-contained introduction to the three main families that we encounter in analysis - metric spaces, normed spaces, and inner product spaces - and to the operators that transform objects in one into objects in another. With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the "science of functions."
Many important to...