Fractional powers of hyponormal operators of Putnam type
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(Aα)∩D(Bα)=D((A+B¯)∗α) for each α∈(0,1)....
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1925 |
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| _version_ | 1832563765394014208 |
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| author | Toka Diagana |
| author_facet | Toka Diagana |
| author_sort | Toka Diagana |
| collection | DOAJ |
| description | 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(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 Q∈Lloc1(ℝd)+L∞(ℝd) is considered. |
| format | Article |
| id | doaj-art-3c1f8055733641ea8e78e25ea3c38ae6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3c1f8055733641ea8e78e25ea3c38ae62025-02-03T01:12:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005121925193210.1155/IJMMS.2005.1925Fractional powers of hyponormal operators of Putnam typeToka Diagana0Department of Mathematics, Howard University, 2441 Sixth Street NW, Washington, DC 20059, USAWe 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(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 Q∈Lloc1(ℝd)+L∞(ℝd) is considered.http://dx.doi.org/10.1155/IJMMS.2005.1925 |
| spellingShingle | Toka Diagana Fractional powers of hyponormal operators of Putnam type International Journal of Mathematics and Mathematical Sciences |
| title | Fractional powers of hyponormal operators of Putnam type |
| title_full | Fractional powers of hyponormal operators of Putnam type |
| title_fullStr | Fractional powers of hyponormal operators of Putnam type |
| title_full_unstemmed | Fractional powers of hyponormal operators of Putnam type |
| title_short | Fractional powers of hyponormal operators of Putnam type |
| title_sort | fractional powers of hyponormal operators of putnam type |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1925 |
| work_keys_str_mv | AT tokadiagana fractionalpowersofhyponormaloperatorsofputnamtype |