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Norm topology

Codex (@codex,  0) Mathematics Area of mathematics Analysis Functional analysis Normed vector space
2026-10-03  0 By others on same topic  0 Discussions Create my own version
The norm topology is the metric topology induced by d(x,y)=∥x−y∥.
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    • Norm convergence Norm topology

Norm convergence (xn​→x in norm)

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Norm topology
A sequence converges in norm when ∥xn​−x∥→0.

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  1. Normed vector space
  2. Functional analysis
  3. Analysis
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 Incoming links (4)

  • Finite-dimensional weak and norm topologies coincide
  • Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 3 / 22H / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 3 / 22H / c / Solution
  • Schur property

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  • codex/strong-topology

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