Banach algebras (Gelfand theory)

Layer 0 — Mathematicsin the functional-analysis subtree

Commutative-Banach-algebra A: continuous-spectrum = maximal-ideals = characters. Gelfand-transform A → C(M(A)). Wiener-tauberian theorem application. Foundation of harmonic-analysis on groups.

Related concepts

Ring (R, +, ·)
C*-algebra (Gelfand-Naimark 1943)

Explore Banach algebras (Gelfand theory) on the interactive knowledge graph →