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Hilbert space is a [[normed vector space]] that is also a complete [[metric space]].  A Hilbert space is always a [[Banach space]], but the converse need not hold.
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Hilbert space is a [[normed vector space]] that is also a [[complete metric space]].  A Hilbert space is always a [[Banach space]], but the converse need not hold.
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]
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