MSC2020 · 46Exx

Linear function spaces and their duals

Linear function spaces and their duals [See also 30H05, 32A38, 46F05] \{For function algebras, see 46J10\}

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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

46E05Lattices of continuous, differentiable or analytic functions0 46E10Topological linear spaces of continuous, differentiable or analytic functions0 46E15Banach spaces of continuous, differentiable or analytic functions0 46E20Hilbert spaces of continuous, differentiable or analytic functions0 46E22Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)0 46E25Rings and algebras of continuous, differentiable or analytic functions0 46E27Spaces of measures0 46E30Spaces of measurable functions (

L^p

-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)0 46E35Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems3 46E36Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces0 46E39Sobolev (and similar kinds of) spaces of functions of discrete variables0 46E40Spaces of vector- and operator-valued functions0 46E50Spaces of differentiable or holomorphic functions on infinite-dimensional spaces0 46E99Linear function spaces and their duals0

Mapped problems

OP-12120AnalysisStatus unassessed

Special Case of Gagliardo-Nirenberg Inequality (AlphaEvolve problem 16)

Special Case of Gagliardo-Nirenberg Inequality (AlphaEvolve problem 16). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.

AlphaEvolve Repository of Problems — Georgiev, Gómez-Serrano, Tao & Wagner· Licensed source statement· 2025

OP-12119AnalysisStatus unassessed

Gagliardo-Nirenberg Inequality (AlphaEvolve problem 15)

Gagliardo-Nirenberg Inequality (AlphaEvolve problem 15). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.

AlphaEvolve Repository of Problems — Georgiev, Gómez-Serrano, Tao & Wagner· Licensed source statement· 2025

OP-12019AnalysisOpen

Brezis–Gallouet–Wainger remainder constant on the 2D torus ( $C_{16}$ )

Brezis–Gallouet–Wainger remainder constant on the 2D torus: determine C 16 or improve its bounds; the repository records frac beta + pi pi approx 1.82283 (lower) and approx 2.15627 (upper).

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

Journals & articles in MSC 46

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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