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July 18th, 2017, 02:20 AM  #1 
Newbie Joined: Jun 2017 From: Earth Posts: 16 Thanks: 0  Should span be a finite linear combination only? Wiki says infinite linear combination should be excluded off of the definition of span. So should we answer "Yes" to the following question appearing in UC Davis notes?: 
July 18th, 2017, 02:30 AM  #2 
Senior Member Joined: Oct 2009 Posts: 139 Thanks: 56 
The answer is indeed yes.

August 17th, 2017, 04:35 PM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,574 Thanks: 667 
Note that in "functional analysis", where we have infinite dimensional vector spaces and a notion of limits, so that we can add an infinite number of vectors, we can have a "span" of an infinite number of vectors. Fourier series are an example of that.


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combination, finite, linear, span 
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