About this document
Metric Spaces vs. Normed Spaces by Pete Jacopo Belbo Caya is a document available to read on EtoBox.
This document introduces some basic definitions in functional analysis, including: 1) Metric spaces, norms, normed linear spaces, and inner product spaces. Examples of norms and metric spaces are given. 2) Sequence spaces and function spaces. Sequence spaces consist of sequences in a linear space with pointwise operations. `p spaces are normed linear spaces of sequences under the `p norm. Function spaces consist of functions between intervals with additional properties like continuity. 3) Important theorem
- Author
- Pete Jacopo Belbo Caya
- Language
- EN