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O que (quem) é F Riesz's theorem - definição
WIKIMEDIA DISAMBIGUATION PAGE
Riesz's theorem; Riesz theorem (disambiguation)
F. Riesz's theorem
Frigyes Riesz theorem; Frigyes Riesz's theorem; F. Riesz theorem
F. Riesz's theorem (named after Frigyes Riesz) is an important theorem in functional analysis that states that a Hausdorff topological vector space (TVS) is finite-dimensional if and only if it is locally compact.
Riesz theorem
The Riesz theorem may refer to any of several mathematical theorems due to brothers Frigyes Riesz and Marcel Riesz:
Divergence theorem
![The divergence theorem can be used to calculate a flux through a [[closed surface]] that fully encloses a volume, like any of the surfaces on the left. It can ''not'' directly be used to calculate the flux through surfaces with boundaries, like those on the right. (Surfaces are blue, boundaries are red.)](https://commons.wikimedia.org/wiki/Special:FilePath/SurfacesWithAndWithoutBoundary.svg?width=200 "The divergence theorem can be used to calculate a flux through a [[closed surface]] that fully encloses a volume, like any of the surfaces on the left. It can ''not'' directly be used to calculate the flux through surfaces with boundaries, like those on the right. (Surfaces are blue, boundaries are red.)")
GENERALIZATION OF THE FUNDAMENTAL THEOREM IN VECTOR CALCULUS
Gauss' theorem; Gauss's theorem; Gauss theorem; Ostrogradsky-Gauss theorem; Ostrogradsky's theorem; Gauss's Theorem; Divergence Theorem; Gauss' divergence theorem; Ostrogradsky theorem; Gauss-Ostrogradsky theorem; Gauss Ostrogradsky theorem; Gauss–Ostrogradsky theorem
In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, reprinted in is a theorem which relates the flux of a vector field through a closed surface to the divergence of the field in the volume enclosed.
Wikipédia
Riesz theorem
The Riesz theorem may refer to any of several mathematical theorems due to brothers Frigyes Riesz and Marcel Riesz:
- F. and M. Riesz theorem
- F. Riesz's theorem – Characterizes finite-dimensional Hausdorff topological vector spaces (TVSs).
- Riesz representation theorem
- M. Riesz extension theorem
- Riesz–Thorin theorem
- Riesz–Fischer theorem
- Riesz's lemma
- Riesz–Markov–Kakutani representation theorem
