Re: [ATM] Entropy OT

["matt" <mariusrf@bellsouth.net>]

-----Original Message-----
From: Richard Schwartz <richas@earthlink.net>
To: David Williams <dwilliams1128@earthlink.net>
Cc: atm@atmlist.net <atm@atmlist.net>
Date: Monday, November 01, 2004 1:17 PM
Subject: Re: [ATM] Entropy OT


>In mathematics, we studied (very long ago) "Banach space".   It has an
>INFINITE  number of dimensions.

not necessarily infinite . A Banach space is a vector space with a norm.
N-dimensional Euclidean space is a Banach space for example with an
arbitrary N number of dimensions (N being countable ), although not
infinitely dimensional. An example of infinitely dimensional Banach space
can be vector spaces of functions .
Very OT for here but just to set the record straight, as far as I can
remember from a quarter century ago when I studied these topics .

best regards,
matt tudor

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