International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2005 / Article

Open Access

Volume 2005 |Article ID 180286 | https://doi.org/10.1155/IJMMS.2005.1925

Toka Diagana, "Fractional powers of hyponormal operators of Putnam type", International Journal of Mathematics and Mathematical Sciences, vol. 2005, Article ID 180286, 8 pages, 2005. https://doi.org/10.1155/IJMMS.2005.1925

Fractional powers of hyponormal operators of Putnam type

Received20 Jan 2005
Revised12 Apr 2005

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 , then D((A+B¯)α)=D(Aα)D(Bα)=D((A+B¯)α) for each α(0,1). As an application, a large class of the Schrödinger's operator with a complex potential QLloc1(d)+L(d) is considered.

Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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