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| ``Re: Hilbert space always Banach space?''
by Larry Hammick on 2003-10-01 12:29:44 |
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| Just to put it a bit differently, a Hilbert space is by definition a (particular type of) Banach space.
Any normed space whose norm comes from an inner product is called a prehilbert space. If it is complete (i.e. if it is a Banach space), then it is called a Hilbert space. |
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