2
$\begingroup$

Possible Duplicate:
Quasinilpotent operator

Do you know any example of a quasinilpotent operator such that every its power is non-compact?

Of course direct sum of nilpotent operators(or Volterra operator) can by good. But I search for same known("classical") example.

$\endgroup$
1

1 Answer 1

2
$\begingroup$

In http://www.jstor.org/pss/2047905 you can find a weighted shift operator that has this property.

$\endgroup$

Not the answer you're looking for? Browse other questions tagged or ask your own question.