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Bessel sequence, uniformly minimal, separated
instead of $\leq \|f\|^2$ it should be $\leq C\|f\|^2$. Sorry.
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Bessel sequence, uniformly minimal, separated
$f_n$ is a Bessel sequence if $\sum|<f|f_n>|^2\leq \|f\|^2$ for all vectors $f$.
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Bessel sequence, uniformly minimal, separated
Unit norm means each vector is of norm 1. Separated means that there is a constant $c>0$ s.t. the distance between any two vectors is $>c$. Minimal means that none of the vectors is in the closed span of the others.
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Bessel sequence, uniformly minimal, separated