Chapter 2 - Measurable Functions Flashcards
1
Q
Define an (E,F)-measurable function.
State THM 2.1 on a method to show f is (E,F)-measurable.
A
2
Q
State Corollary 2.1 on equivalent statements to E-measurability.
State Lemma 2.1 on continuous functions.
A
3
Q
State THM 2.2 on properties of measurable functions.
State Lemma 2.2 on extended real valued functions.
A
4
Q
Define lim sup and lim inf, and what happens when they are equal?
State THM 2.3 defining F, F, f, f.
State Corollary 2.2 on convergence of f_n.
A
