Re: separable Hilbert space

"michaeld" <michaeld@xxxxxxxxxx> wrote in message
news:1124753984.869219.125560@xxxxxxxxxxxxxxxxxxxxxxxxxxxx


> To work with things like |x>
> rigorously you need to get into the machinery of 'projection valued
> measures' or alternatively 'Gelfand triples'.

Ah, yes, the delightful rigged Hilbert spaces. Are these a cure all are
are there still problems with rigged Hilbert spaces? I guess they are
still not perfect because although they take in distributions like the
delta function, the wavefunctions themselves are still not
square-integrable. Is this still a problem?



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