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)....
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1925 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |