Zentralblatt MATH

62 Functional analysis46Kxx Topological (rings and) algebras withan involution [See also 16W10]46K05 General theory of topological algebraswith involution46K10 Representations of topological algebraswith involution46K15 Hilbert algebras46K50 Nonselfadjoint (sub)algebras in algebraswith involution46K70 Nonassociative topological algebraswith an involution [See also 46H70,46L70]46K99 None of the above, but in this section46Lxx Selfadjoint operator algebras(C ∗ -algebras, von Neumann (W ∗ -) algebras,etc.) [See also 22D25, 47Lxx]46L05 General theory of C ∗ -algebras46L06 Tensor products of C ∗ -algebras46L07 Operator spaces and completelybounded maps [See also 47L25]46L08 C ∗ -modules46L09 Free products of C ∗ -algebras46L10 General theory of von Neumann algebras46L30 States46L35 Classifications of C ∗ -algebras46L36 Classification of factors46L37 Subfactors and their classification46L40 Automorphisms46L45 Decomposition theory for C ∗ -algebras46L51 Noncommutative measure and integration46L52 Noncommutative function spaces46L53 Noncommutative probability and statistics46L54 Free probability and free operator algebras46L55 Noncommutative dynamical systems[See also 28Dxx, 37Kxx, 37Lxx, 54H20]46L57 Derivations, dissipations and positivesemigroups in C ∗ -algebras46L60 Applications of selfadjoint operator algebrasto physics [See also 46N50,46N55, 47L90, 81T05, 82B10, 82C10]46L65 Quantizations, deformations46L70 Nonassociative selfadjoint operator algebras[See also 46H70, 46K70]46L8046L8546L8746L8946L99K-theory and operator algebras(including cyclic theory) [See also 18F25,19Kxx, 46M20, 55Rxx, 58J22]Noncommutative topology[See also 58B32, 58B34, 58J22]Noncommutative differential geometry[See also 58B32, 58B34, 58J22]Other “noncommutative” mathematicsbased on C ∗ -algebra theory[See also 58B32, 58B34, 58J22]None of the above, but in this section46Mxx Methods of category theory in functionalanalysis [See also 18-XX]46M05 Tensor products[See also 46A32, 46B28, 47A80]46M07 Ultraproducts [See also 46B08, 46S20]46M10 Projective and injective objects[See also 46A22]46M15 Categories, functors (For K-theory, EXT,etc., see 19K33, 46L80, 46M18, 46M20)46M18 Homological methods (exact sequences,right inverses, lifting, etc.)46M20 Methods of algebraic topology (cohomology,sheaf and bundle theory, etc.)[See also 14F05, 18Fxx, 19Kxx, 32Cxx,32Lxx, 46L80, 46M15, 46M18, 55Rxx]46M35 Abstract interpolation of topologicalvector spaces [See also 46B70]46M40 Inductive and projective limits[See also 46A13]46M99 None of the above, but in this section46Nxx Miscellaneous applications of functionalanalysis [See also 47Nxx]46N10 Applications in optimization, convexanalysis, mathematical programming,economics46N20 Applications to differential and integralequations46N30 Applications in probability theory andstatistics46N40 Applications in numerical analysis[See also 65Jxx]46N50 Applications in quantum physics46N55 Applications in statistical physics46N60 Applications in biology and other sciences46N99 None of the above, but in this section