vector space

A vector space is a set of objects called vectors, equipped with operations of vector addition and scalar multiplication that satisfy specific axioms such as associativity, commutativity, distributivity, and the existence of additive identities and inverses.

Observed surface forms (3)

• normed vector space ×2
• geometric space ×1
• topological vector space ×1

Instances (3)

• Hilbert spaces
  surface form: Hilbert space
• Euclidean space via concept surface "geometric space"
• Banach spaces via concept surface "topological vector space"
  surface form: Banach space