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BOUNDED AND UNBOUNDED OPERATORS SIMILAR TO THEIR ADJOINTS

BOUNDED AND UNBOUNDED OPERATORS SIMILAR TO THEIR ADJOINTS

In this paper, we establish results about operators similar to their adjoints. This is carried out in the setting of bounded and also unbounded operators on a Hilbert space. Among the results, we prove that an unbounded closed operator similar to its adjoint, via a cramped unitary operator, is self-adjoint. …