Conditional expectation in an operator algebra. III.

A Non-Commutative Extension of Abstract Integration

I. E. Segal · Annals of Mathematics · 1953 · 762 citations

Abstract Integration, Non-commutative Algebra, Universal Algebra +1

Conditional expectation in an operator algebra, I

Hisaharu Umegaki · Tohoku Mathematical Journal · 1954 · 323 citations · Full text

Spectral Theory, Linear Operator, Engineering +5

Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics

Paul R. Halmos, Leonard J. Savage · The Annals of Mathematical Statistics · 1949 · 308 citations · Full text

Large Deviations, Euclidean Space, Measure Theory +15

On the projection of norm one in $W^ *$-algebras

Jun Tomiyama · Proceedings of the Japan Academy Series A Mathematical Sciences · 1957 · 260 citations · Full text

Norm One, Norm (Mathematics), Functional Analysis

Concrete Representation of Abstract (L)-Spaces and the Mean Ergodic Theorem

Shizuo Kakutani · Annals of Mathematics · 1941 · 256 citations

Measure Theory, Infinite Dimensional Analysis, Set-theoretic Topology +4