nikodym theorem
1Radon–Nikodym theorem — In mathematics, the Radon–Nikodym theorem is a result in functional analysis that states that, given a measurable space ( X , Sigma;), if a sigma finite measure nu; on ( X , Sigma;) is absolutely continuous with respect to a sigma finite measure… …
2Stinespring factorization theorem — In mathematics, Stinespring s dilation theorem, also called Stinespring s factorization theorem, is a result from operator theory that represents any completely positive map on a C* algebra as a composition of two completely positive maps each of …
3Otto M. Nikodym — Otto Marcin Nikodým (1887 – 1974) was a Polish mathematician. He was educated at the Universities of Lwow and Warsaw, and the Sorbonne. Nikodym taught at the Universities of Kraków and Warsaw and at the High Polytechnical School in Kraków. He… …
4Choi's theorem on completely positive maps — In mathematics, Choi s theorem on completely positive maps (after Man Duen Choi) is a result that classifies completely positive maps between finite dimensional (matrix) C* algebras. An infinite dimensional algebraic generalization of Choi s… …
5Plancherel theorem for spherical functions — In mathematics, the Plancherel theorem for spherical functions is an important result in the representation theory of semisimple Lie groups, due in its final form to Harish Chandra. It is a natural generalisation in non commutative harmonic… …
6Lebesgue's decomposition theorem — In mathematics, more precisely in measure theory, Lebesgue s decomposition theorem is a theorem which states that given mu and u two sigma; finite signed measures on a measurable space (Omega,Sigma), there exist two sigma; finite signed measures… …
7Girsanov theorem — In probability theory, the Girsanov theorem tells how stochastic processes change under changes in measure. The theorem is especially important in the theory of financial mathematics as it tells how to convert from the physical measure which… …
8Cameron-Martin theorem — In mathematics, the Cameron Martin theorem or Cameron Martin formula is a theorem of measure theory that describes how abstract Wiener measure changes under translation by certain elements of the Cameron Martin Hilbert space.MotivationRecall that …
9Absolute continuity — In mathematics, the relationship between the two central operations of calculus, differentiation and integration, stated by fundamental theorem of calculus in the framework of Riemann integration, is generalized in several directions, using… …
10Bochner integral — In mathematics, the Bochner integral extends the definition of Lebesgue integral to functions which take values in a Banach space.The theory of vector valued functions is a chapter of mathematical analysis, concerned with the generalisation to… …
