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Prerequisite chain

Prerequisites for Functional Analysis Core

Topics you need before working through Functional Analysis Core. Direct prerequisites are listed first; transitive prerequisites (the chain reachable through them) follow.

Direct prerequisites (3)

  1. Metric Spaces, Convergence, and Completenesslayer 0A, tier 1
  2. Inner Product Spaces and Orthogonalitylayer 0A, tier 1
  3. Measure-Theoretic Probabilitylayer 0B, tier 1

Reachable through the chain (1)

These topics are not directly cited as prerequisites but are reached transitively by following the chain upward. Working through the direct prerequisites pulls these in.