MSC2020 · 47Bxx

Special classes of linear operators

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Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.

Subcategories

47B01Operators on Banach spaces0 47B02Operators on Hilbert spaces (general)0 47B06Riesz operators; eigenvalue distributions; approximation numbers,

s

-numbers, Kolmogorov numbers, entropy numbers, etc. of operators0 47B07Linear operators defined by compactness properties0 47B10Linear operators belonging to operator ideals (nuclear,

p

-summing, in the Schatten-von Neumann classes, etc.)0 47B12Sectorial operators0 47B13Cowen-Douglas operators0 47B15Hermitian and normal operators (spectral measures, functional calculus, etc.)0 47B20Subnormal operators, hyponormal operators, etc.0 47B25Linear symmetric and selfadjoint operators (unbounded)0 47B28Nonselfadjoint operators0 47B32Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces)0 47B33Linear composition operators0 47B34Kernel operators0 47B35Toeplitz operators, Hankel operators, Wiener-Hopf operators0 47B36Jacobi (tridiagonal) operators (matrices) and generalizations0 47B37Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)0 47B38Linear operators on function spaces (general)0 47B39Linear difference operators0 47B40Spectral operators, decomposable operators, well-bounded operators, etc.0 47B44Linear accretive operators, dissipative operators, etc.0 47B47Commutators, derivations, elementary operators, etc.1 47B48Linear operators on Banach algebras0 47B49Transformers, preservers (linear operators on spaces of linear operators)0 47B50Linear operators on spaces with an indefinite metric0 47B60Linear operators on ordered spaces0 47B65Positive linear operators and order-bounded operators0 47B80Random linear operators0 47B90Operator theory and harmonic analysis0 47B91Operators on complex function spaces0 47B92Operators on real function spaces0 47B93Operators arising in mathematical physics0 47B99Special classes of linear operators0

Mapped problems

OP-12101AnalysisOpen

Exponent for commutators close to the identity ( $C_{85}$ )

Exponent for commutators close to the identity: determine C 85 or improve its bounds; the repository records 1 (lower) and 4 (upper).

Optimization Constants in Mathematics — Davis, Ivanisvili & Tao· Licensed source statement· 2026

Journals & articles in MSC 47

These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.

Analysis & PDE ↗

Mathematical Sciences Publishers

Analysis and partial differential equations

Journal discovery is available; article-level extraction for this class is not yet included in this batch.

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Subcategories

Mapped problems

Exponent for commutators close to the identity (C85C_{85}C85​)

Journals & articles in MSC 47

Exponent for commutators close to the identity ( $C_{85}$ )