
Real Analysis Real Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
January 21st, 2014, 04:30 AM  #1 
Newbie Joined: Mar 2013 Posts: 16 Thanks: 0  Weak Convergence Question
I just want to confirm that if we have a normed spaces and and (X subset Y) then does it follow that if weakly in then weakly in ? Thanks.

January 21st, 2014, 02:16 PM  #2 
Senior Member Joined: Dec 2012 Posts: 372 Thanks: 2  Re: Weak Convergence Question . But . Given , then which means . Thus, your claim is correct, given that and are both Banach. (Peterpan  have you found some neat application of the weak topology and weak convergence?) 

Tags 
convergence, question, weak 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Weak convergence in compact embedding  John Do  Real Analysis  2  January 13th, 2014 03:55 AM 
Very Weak In Maths  rohit786  Academic Guidance  13  February 8th, 2013 07:26 PM 
Weak Derivative  mattia90  Real Analysis  0  April 12th, 2012 04:07 AM 
Weak convergence of the sum of dependent variables question  vovchik  Advanced Statistics  0  December 13th, 2011 02:15 PM 
Weak Convergence  VladP  Real Analysis  0  October 22nd, 2009 11:57 AM 