Besov space

The Besov space is one of the Banach spaces. It can be used for solving partial differential equations.

Functional analysis (topics – glossary)

Spaces

Banach Besov Fréchet Hilbert Hölder Nuclear Orlicz Schwartz Sobolev topological vector
Properties	barrelled complete dual (algebraic/topological) locally convex reflexive separable

Theorems

Hahn–Banach
Riesz representation
closed graph
uniform boundedness principle
Kakutani fixed-point
Krein–Milman
min–max
Gelfand–Naimark
Banach–Alaoglu

Operators

adjoint
bounded
compact
Hilbert–Schmidt
normal
nuclear
trace class
transpose
unbounded
unitary

Algebras

Banach algebra
C*-algebra
spectrum of a C*-algebra
operator algebra
group algebra of a locally compact group
von Neumann algebra

Open problems

invariant subspace problem
Mahler's conjecture

Applications

Hardy space
spectral theory of ordinary differential equations
heat kernel
index theorem
calculus of variations
functional calculus
integral operator
Jones polynomial
topological quantum field theory
noncommutative geometry
Riemann hypothesis
distribution (or generalized functions)

Advanced topics

approximation property
balanced set
Choquet theory
weak topology
Banach–Mazur distance
Tomita–Takesaki theory

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.