Representation theorem information

In mathematics, a representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to another (abstract...

The Riesz representation theorem, sometimes called the Riesz–Fréchet representation theorem after Frigyes Riesz and Maurice René Fréchet, establishes...

In probability theory, the martingale representation theorem states that a random variable that is measurable with respect to the filtration generated...

an integrable function. In the latter case, the Gelfand–Naimark representation theorem is one avenue in the development of spectral theory for normal operators...

semisimple representation theory questions about a quiver. Galois representation Glossary of representation theory Group representation Itô's theorem List of...

Borel–Bott–Weil theorem (representation theory) Borel–Carathéodory theorem (complex analysis) Borel–Weil theorem (representation theory) Borel determinacy theorem (set...

In economics, a utility representation theorem asserts that, under certain conditions, a preference ordering can be represented by a real-valued utility...

his investigation of Boolean algebras, which culminated in his representation theorem for Boolean algebras. The following conditions on the topological...

infinite. In 1926, Frank Ramsey introduced the Ramsey's Representation Theorem. This representation theorem for expected utility assumed that preferences are...

Riesz representation theorem M. Riesz extension theorem Riesz–Thorin theorem Riesz–Fischer theorem Riesz's lemma Riesz–Markov–Kakutani representation theorem...

space Rising sun lemma Denjoy–Riesz theorem F. and M. Riesz theorem Riesz representation theorem Riesz-Fischer theorem Riesz groups Riesz's lemma Riesz projector...

Kolmogorov–Arnold representation theorem is similar in spirit. Indeed, certain neural network families can directly apply the Kolmogorov–Arnold theorem to yield...

positive measure on the circle. This result, the Herglotz-Riesz representation theorem, was proved independently by Gustav Herglotz and Frigyes Riesz in...