Banach algebras

compact operators

Brown-Pearcy theorem

functional analysis

L^p spaces

operator algebras and ideals

Kadison-Singer theorem

Marcus-Spielman-Srivastava theorem

46-XX - Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx}

46Bxx - Normed linear spaces and Banach spaces; Banach lattices {For function spaces, see 46Exx}

46Jxx - Commutative Banach algebras and commutative topological algebras [See also 46E25]

46Lxx - Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx]

46L52 - Noncommutative function spaces

46L54 - Free probability and free operator algebras

46L57 - Derivations, dissipations and positive semigroups in $C^*$-algebras