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Question on definition of Span

  1. Sep 28, 2005 #1
    I'm a bit confused on something elementary.
    If X is a Hilbert space and A is a subset of X and is uncountable. What exactly does it mean for an element x to be in the span of A? Does it mean x can be expressed as a finite linear combination of elements from A, or can it be infinte and even possibly an uncountble linear combination?
  2. jcsd
  3. Sep 28, 2005 #2


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    Science Advisor

    FINITE linear combination.
  4. Sep 28, 2005 #3
    Thanks. I was thinking that as well but wasn't sure.
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