Functional analysis MOC

Topological vector space

A topological vector space is a vector space (𝑉,𝕂) over a topological field 𝕂 equipped with a topology such that scalar multiplication ( ⋅) :𝕂 ×𝑉 →𝑉 and vector addition ( +) :𝑉 ×𝑉 →𝑉 are continuous. #m/def/anal/fun

Properties

• A topological vector space is a form of Topological group

#state/tidy | #lang/en | #SemBr