On the construction of kernels

Ronald K. Getoor

Displaying similar documents to “On the construction of kernels”

Some topologies connected with Lebesgue measure

John B. Walsh (1971)

Séminaire de probabilités de Strasbourg

Similarity:

On bimeasurable images of universally measurable sets

R. Darst (1970)

Fundamenta Mathematicae

Similarity:

Some theorems on Borel-measurable functions

G. Lederer (1963)

Colloquium Mathematicae

Similarity:

Universally measurable spaces: an invariance theorem and diverse characterizations

Rae Shrott (1984)

Fundamenta Mathematicae

Similarity:

Gradients of Borel functions

B. Bongiorno, P. Vetro (1978)

Colloquium Mathematicae

Similarity:

Spaces of measurable functions

Piotr Niemiec (2013)

Open Mathematics

Similarity:

For a metrizable space X and a finite measure space (Ω, $𝔐$ , µ), the space M µ(X) of all equivalence classes (under the relation of equality almost everywhere mod µ) of $𝔐$ -measurable functions from Ω to X, whose images are separable, equipped with the topology of convergence in measure, and some of its subspaces are studied. In particular, it is shown that M µ(X) is homeomorphic to a Hilbert space provided µ is (nonzero) nonatomic and X is completely metrizable and has more than one point. ...

On a problem of Marczewski

J. Doob (1948)

Colloquium Mathematicae

Similarity:

A note on Lusin measurability in measure spaces

Josef Štěpán (2003)

Mathematica Slovaca

Similarity:

Functions Equivalent to Borel Measurable Ones

Andrzej Komisarski, Henryk Michalewski, Paweł Milewski (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

Let X and Y be two Polish spaces. Functions f,g: X → Y are called equivalent if there exists a bijection φ from X onto itself such that g∘φ = f. Using a theorem of J. Saint Raymond we characterize functions equivalent to Borel measurable ones. This characterization answers a question asked by M. Morayne and C. Ryll-Nardzewski.