Topology/Banach Spaces

Template:Navigation   

A Banach space is a normed vector space that is complete with respect to the inferred metric.

Examples

Recalling that a space is complete if all Cauchy sequences converge. Then $L^p$ spaces over ${ℝ}^n$ are Banach spaces.

Proof (under construction)

Exercises

(under construction)

Template:Navigation Template:BookCat