Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. q3 [17% ] let x be a set and a a ?-algebra of subs

Q3 [17% ] Let X be a set and A a ?-algebra of subsets of...

80.2K

Verified Solution

Question

Advance Math

Q3 [17% ] Let X be a set and A a ?-algebra of subsets of X.

(a) What does it mean for a function f : X ? R to be measurable?[2%] If f and g are measurable, show that the function f ? g isalso measurable. [6%]

(b) Let (fn) be a sequence of measurable functions.

(i) What does it mean to say that (fn) converges pointwise to afunction f? [2%]

(ii) If (fn) converges pointwise to f, show that f is ameasurable function.

Answer & Explanation Solved by verified expert
4.3 Ratings (922 Votes)
Q3 17 Let X be a set and A a algebra of subsets ofXa What does it mean    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Finance
1.2K views

How much is your arbitrage profit in Euros at expiration, if you know that the current exchange rate is  Euro 1.2...

Biology
1.2K views

Explain the differences between beer, ale, wine (red and white), brandy, and scotch? What effect does...

General Management
1.2K views

Analyze Amazon’s actions for instances of inconsistencies or practices where the words in the mission, espoused...

Finance
1.2K views

Question 3: The ABC Company has a WACC of 20%. Its cost of debt is 12%,...

Physics
1.2K views

For the arrangement of capacitors as shown in the circuit the effective capacitance between the...

Physics
1.2K views

Three charges and q are placed at the corner of an equilateral triangle of side...

Algebra
1.2K views

Given 3 unique non zero vectors in 2 space a b c what does the...

Accounting
1.2K views

Question 5 10 Points Which of the following can be used as an underlying for...

Accounting
1.2K views

Inventories Problem Create your own Excel workbook for this task. Please calculate each of the...

Accounting
1.2K views

Whispering Winds Company, organized in 2020, has the following transactions related to intangible assets. 1/2/20...

Finance
1.2K views

PVAdas=PVAentian(I+I) One can solve for payments (PMT), periodn (I), and interest rates (t) for armuaties....

Finance
1.2K views

formulas You are investing in bonds to have lower risk in your...