We present here inclusion relations between different spaces. An arrow means that all spaces of type are also of type , i.e. is included in .

Banach Space
Bergman Space
Euclidean Space
Fock Space
Hilbert Space
Holder Space
Inner Product Space
Lp Space
L2 Space
Metric Space
Minkowski Space
Normed Vector Space
Quantum Hilbert Space
Schwartz Space
Sobolev Space
Sobolev-Slobodeckij Space
Polish Space
Pseudo-Euclidean Space
Vector Space

The above includes different spaces:

  1. Banach Space
  2. Bergman space
  3. Euclidean Space
  4. Fock Space
  5. Hilbert Space
  6. Holder Space
  7. Inner Product Space
  8. Metric space
  9. Schwarz space
  10. Sobolev Space
  11. Vector Space
  12. Quantum Hilbert Space