A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
I need an example of Banach space..
(10 points) Define a Banach Space and Verify that the space is Banach.
(10 points) Define a operator and show that your operator is a contraction.
(10 points) Apply CMT and get a conclusion.
(10 points) What is the meaning of having a fixed point for the problem you are working on?
(10 points) Originality.
anonymous
 3 years ago
I need an example of Banach space.. (10 points) Define a Banach Space and Verify that the space is Banach. (10 points) Define a operator and show that your operator is a contraction. (10 points) Apply CMT and get a conclusion. (10 points) What is the meaning of having a fixed point for the problem you are working on? (10 points) Originality.

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0CMT=contraction mapping theorem..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[l_p :=\{x\in\mathbb{R}^n : x_p<\infty\}\] is a known Banach space, but I'm not familiar with the details of it. I don't know about the rest of your question.

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.0I am not familiar with this subject, but I do recall one article I saw about Contraction Mapping Theorem by Keith Conrad: http://www.math.uconn.edu/~kconrad/blurbs/analysis/contraction.pdf I apologize if it is not useful here, although I found some of his other articles useful or interesting, so maybe you can find something here? :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0thanks to both though

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Take the Banach Space R the set of real numbers with norm of x being the absolute value of X. and take the operator T(x) = 1/2 x
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.