Difference between revisions of "Hilbert Space"

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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.
 
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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[[Category:Mathematics]]

Revision as of 21:03, March 15, 2007

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.