1:33 PM
in Mathematics, 25 mins ago, by Alessandro Codenotti
Hilbert spaces are classified by dimension, if $\kappa$ is the cardinality of an orthonormal basis of $H$ then $H$ is isometrically isomorphic to $\ell^2(\kappa)$
in Mathematics, 21 mins ago, by Alessandro Codenotti
Yes, any orthonormal basis of a separable Hilbert space is also a Schauder basis
in Mathematics, 31 mins ago, by Mike Miller
so you're saying yes, there is a uniqueness statement. why is this not what's already called a schauder basis
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