List of functional analysis topics
This is a list of functional analysis topics.
See also: Glossary of functional analysis.
Hilbert space
Functional analysis, classic results
[Operator theory]
Banach space examples
- Lp space
- Hardy space
- Sobolev space
- Tsirelson space
- ba space
Real and complex algebra">associative algebra">algebras
[Topological [vector space]]s
Amenability
- Amenable group
- Von Neumann conjecture
[Wavelet]s
Quantum theory
''See also list of mathematical topics in quantum theory''[Probability]
- Free probability
- Bernstein's theorem
Non-linear
- Fixed-point theorems in infinite-dimensional spaces
History
- Stefan Banach
- Hugo Steinhaus
- John von Neumann
- Alain Connes
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Functional analysis