New posts in measure-theory

Is there a measurable set $A$ such that $m(A \cap B) = \frac12 m(B)$ for every open set $B$?

Example of an algebra which is not a σ-algebra.

The Definite Integral Problem (with a twist)?

measure-theory recreational-mathematics riemann-integration dirichlet-series

Hölder's inequality with three functions

functional-analysis measure-theory inequality lp-spaces

Apparent inconsistency of Lebesgue measure

measure-theory lebesgue-measure fake-proofs

Proving that a spectral measure is $\sigma$-additive

real-analysis linear-algebra functional-analysis measure-theory

What is the measure of the set of numbers in $[0,1]$ whose decimal expansions do not contain $5$?

measure-theory lebesgue-measure

We have sums, series and integrals. What's next?

integration measure-theory

Theorem of Steinhaus

real-analysis measure-theory harmonic-analysis locally-compact-groups

Union of $\sigma$-algebras (Çınlar Exercise 1.18)

probability-theory measure-theory

Prove that a series converges. [duplicate]

real-analysis measure-theory

Self-Studying Measure Theory and Integration

integration measure-theory soft-question

Jordan measure zero discontinuities a necessary condition for integrability

calculus integration measure-theory

series of bounded measurable functions converge implies coefficients convergence

real-analysis measure-theory

Interpretation of sigma algebra

probability-theory measure-theory stochastic-processes

Summing over General Functions of Primes and an Application to Prime $\zeta$ Function

integration measure-theory prime-numbers

Doubt in Scheffe's Lemma

Orthonormal basis for product $L^2$ space

measure-theory hilbert-spaces

Has the notion of having a complex amount of dimensions ever been described? And what about negative dimensionality?

measure-theory geometric-measure-theory dimension-theory-analysis

If two measures agree on generating sets, do they agree on all measurable sets?

real-analysis measure-theory