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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
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| ``Banach *-algebra representation remark''
by asteroid on 2008-09-17 19:24:02 |
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| To bci1,
I've deleted the remark you added, because the second part of it doesn't really make sense to me.. I'll post it here anyway:
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"Recall that a Hilbert space is a Banach space in the norm induced by the inner product, and also that
a Banach *-algebra is a Banach algebra endowed with an involution (*); as the definition of a Banach
algebra also involves a Banach space with additional algebraic properties, the representation of a
Banach *-algebra on a Hilbert space is natural in the sense that the space underlying such a representation
is a Banach space both for the domain and range (codomain) of the *-homomorphism that defines $\pi$."
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If you tell me what you are trying to say, I can work something out I guess.. |
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