Question on definition of Span

  • Thread starter Tzar
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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?
 

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  • #2
HallsofIvy
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FINITE linear combination.
 
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Thanks. I was thinking that as well but wasn't sure.
 

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