F Riesz's theorem - определение. Что такое F Riesz's theorem
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Что (кто) такое F Riesz's theorem - определение

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         
  • n}}
  • A volume divided into two subvolumes. At right the two subvolumes are separated to show the flux out of the different surfaces.
  • The volume can be divided into any number of subvolumes and the flux out of ''V'' is equal to the sum of the flux out of each subvolume, because the flux through the <span style="color:green;">green</span> surfaces cancels out in the sum. In (b) the volumes are shown separated slightly, illustrating that each green partition is part of the boundary of two adjacent volumes
  • </math> approaches <math>\operatorname{div} \mathbf{F}</math>
  • 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.)
  • The vector field corresponding to the example shown. Vectors may point into or out of the sphere.
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.

Википедия

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