Rigged Hilbert Spaces



I am writing an article linking Dirac Spaces and stochastic processes. As
part of that I reviewed my knowledge on Dirac spaces and found these days
they are generally referred to as Rigged Hilbert Spaces.
http://arxiv.org/abs/quant-ph/0502053

It seems the book I got Dirac Spaces from was old even when I learnt about
it nearly 30 years ago now. The math is exactly the same ie one takes the
dual of subspace dense in a Hilbert space - generalised functions and well
tempered generalised functions are examples - but there are others - one of
which I use in my article. Does anyone know why the terminology has
morphed?

Thanks
Bill


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Relevant Pages

  • Re: Rigged Hilbert Spaces
    ... they are generally referred to as Rigged Hilbert Spaces. ... It seems the book I got Dirac Spaces from was old even when I learnt about ... dual of subspace dense in a Hilbert space - generalised functions and well ...
    (sci.physics.relativity)
  • Re: Rigged Hilbert Spaces
    ... part of that I reviewed my knowledge on Dirac spaces and found these days ... they are generally referred to as Rigged Hilbert Spaces. ... dual of subspace dense in a Hilbert space - generalised functions and well ...
    (sci.physics.relativity)
  • Re: Rigged Hilbert Spaces
    ... they are generally referred to as Rigged Hilbert Spaces. ... It seems the book I got Dirac Spaces from was old even when I learnt ...
    (sci.physics.relativity)