Title: Foundations of free noncommutative function theory
Subjects: Functional analysis, Noncommutative algebras, Noncommutative function spaces, Nonassociative rings and algebras -- General nonassociative rings -- Free algebras, Sequences, series, summability -- Convergence and divergence of infinite limiting processes -- Convergence and divergence of series and sequences, Operator theory -- General theory of linear operators -- Functional calculus, Operator theory -- Linear spaces and algebras of operators -- Operator spaces (= matricially normed spaces), Associative algebras, Function spaces, Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Noncommutative function spaces, Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Free probability and free operator algebras, Functional analysis -- Selfadjoint operator algebras ($C *$-algebras, von Neumann ($W *$-) algebras, etc.) -- Noncommutative function spaces, Functional analysis -- Selfadjoint operator algebras ($C *$-algebras, von Neumann ($W *$-) algebras, etc.) -- Free probability and free operator algebras