Newbetuts

Deducing weak convergence of $f_n$ s.t for every $g \in L^q(\mu)$, $\lim_n \int f_n g \,d\mu$ converges

(Integral) Operator Norm: Find $||\phi||$ where $\phi : \mathcal{L^1(m)} \to \mathbb{R}$ is defined by $\phi(f) = \int (x - \frac{1}{2}) f(x) dm(x)$

Are convex functions enough to determine a measure?

Lebesgue integral $\int_{(0, \infty)} \frac{\sin x}{x} dm$ doesn't exist but improper Riemann integral exists

convolution of characteristic functions

Book suggestions: Introduction to Measure Theory for non-mathematicians

Are "most" sets in $\mathbb R$ neither open nor closed?

Continuity from below for Lebesgue outer measure

Intuitionistic Banach-Tarski Paradox

Common Ground between Real Analysis and Measure Theory

Is there a decreasing sequence of sets in $\mathbb{R}^{n}$ with these outer-measure properties?

Folland, Chapter 1 Problem 17

Proving the reflection principle of Brownian motion

Cauchy convergence in probability implies the existence of a (finite a.e.) limit $X$

New posts in measure-theory

Stuck on existence proofs involving measurability and simple functions

Are functions that map dense sets to dense sets continuous?

Non-measurable sets and sigma-algebra definition

Theorems in Measure Theory: Fatou's Lemma, Lebesgue DCT, Monotone CT

Basic help with sigma algebras and borel sets

What is meant by closed under complementation?

Deducing weak convergence of $f_n$ s.t for every $g \in L^q(\mu)$, $\lim_n \int f_n g \,d\mu$ converges

(Integral) Operator Norm: Find $||\phi||$ where $\phi : \mathcal{L^1(m)} \to \mathbb{R}$ is defined by $\phi(f) = \int (x - \frac{1}{2}) f(x) dm(x)$

Are convex functions enough to determine a measure?

Lebesgue integral $\int_{(0, \infty)} \frac{\sin x}{x} dm$ doesn't exist but improper Riemann integral exists

convolution of characteristic functions

Book suggestions: Introduction to Measure Theory for non-mathematicians

Are "most" sets in $\mathbb R$ neither open nor closed?

Continuity from below for Lebesgue outer measure

Intuitionistic Banach-Tarski Paradox

Common Ground between Real Analysis and Measure Theory

Is there a decreasing sequence of sets in $\mathbb{R}^{n}$ with these outer-measure properties?

Folland, Chapter 1 Problem 17

Proving the reflection principle of Brownian motion

Cauchy convergence in probability implies the existence of a (finite a.e.) limit $X$