Commutative Banach algebras and commutative topological algebras
Distributions, generalized functions, distribution spaces
Inner product spaces and their generalizations, Hilbert spaces
Linear function spaces and their duals
Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)
Methods of category theory in functional analysis
Miscellaneous applications of functional analysis
Nonlinear functional analysis
Normed linear spaces and Banach spaces; Banach lattices
Other (nonclassical) types of functional analysis
Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.)
Topological algebras, normed rings and algebras, Banach algebras
Topological linear spaces and related structures
Topological (rings and) algebras with an involution