Abstract

We are concerned with fractional powers of the so‐called hyponormal operators of Putnam type. Under some suitable assumptions it is shown that if A, B are closed hyponormal linear operators of Putnam type acting on a complex Hilbert space ℍ, then for each α ∈ (0, 1). As an application, a large class of the Schrödinger′s operator with a complex potential is considered.

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