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Fractional powers of hyponormal operators of Putnam type

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  • Toka Diagana

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 D ( ( A + B ¯ ) α ) = D ( A α ) ∩ D ( B α ) = D ( ( A + B ¯ ) ∗ α ) for each α ∈ ( 0 , 1 ) . As an application, a large class of the Schrödinger's operator with a complex potential Q ∈ L loc 1 ( ℝ d ) + L ∞ ( ℝ d ) is considered.

Suggested Citation

  • Toka Diagana, 2005. "Fractional powers of hyponormal operators of Putnam type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:180286
    DOI: 10.1155/IJMMS.2005.1925
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