OurBigBook.com $£ Sponsor 中国独裁统治 China Dictatorship 新疆改造中心、六四事件、法轮功、郝海东、709大抓捕、2015巴拿马文件邓家贵、低端人口、西藏骚乱

Metric space vs normed vector space vs inner product space

TODO examples:

metric space that is not a normed vector space
norm vs metric: a norm gives size of one element. A metric is the distance between two elements. Given a norm in a space with subtraction, we can obtain a distance function: the metric induced by a norm.

Figure 4.
Hierarchy of topological, metric, normed and inner product spaces
. Source.

 Ancestors