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Jun 2, 2021 at 19:30 comment added Yonah Borns-Weil Yes, your example was what I first thought of as well, and only afterwards did someone bring up the Volterra operator.
Jun 2, 2021 at 2:31 comment added Robert Furber The example I had heard of for this was the operator on $\ell^2$ you get by multiplying pointwise by $\frac{1}{n}$ after doing a unilateral right shift. I realize now that this is the Volterra operator in disguise.
S Jun 1, 2021 at 17:08 history answered Yonah Borns-Weil CC BY-SA 4.0
S Jun 1, 2021 at 17:08 history made wiki Post Made Community Wiki by Yonah Borns-Weil