Almost 𝜶-Hyponormal Operators with Weyl Spectrum of Area Zero
We define the class of almost 𝛼-hyponormal operators and prove that for an operator 𝑇 in this class, (𝑇∗𝑇)𝛼−(𝑇𝑇∗)𝛼 is trace-class and its trace is zero when 𝛼∈(0,1] and the area of the Weyl spectrum is zero.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/801313 |
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| _version_ | 1849683897635307520 |
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| author | Vasile Lauric |
| author_facet | Vasile Lauric |
| author_sort | Vasile Lauric |
| collection | DOAJ |
| description | We define the class of almost 𝛼-hyponormal operators and prove that
for an operator 𝑇
in this class, (𝑇∗𝑇)𝛼−(𝑇𝑇∗)𝛼 is trace-class and its trace is zero when
𝛼∈(0,1]
and the area of the Weyl spectrum is zero. |
| format | Article |
| id | doaj-art-cb247889e72e40e3a94384a39d5bb077 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cb247889e72e40e3a94384a39d5bb0772025-08-20T03:23:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/801313801313Almost 𝜶-Hyponormal Operators with Weyl Spectrum of Area ZeroVasile Lauric0Department of Mathematics, Florida A&M University, Tallahassee, FL 32307, USAWe define the class of almost 𝛼-hyponormal operators and prove that for an operator 𝑇 in this class, (𝑇∗𝑇)𝛼−(𝑇𝑇∗)𝛼 is trace-class and its trace is zero when 𝛼∈(0,1] and the area of the Weyl spectrum is zero.http://dx.doi.org/10.1155/2011/801313 |
| spellingShingle | Vasile Lauric Almost 𝜶-Hyponormal Operators with Weyl Spectrum of Area Zero International Journal of Mathematics and Mathematical Sciences |
| title | Almost 𝜶-Hyponormal Operators with Weyl Spectrum of Area Zero |
| title_full | Almost 𝜶-Hyponormal Operators with Weyl Spectrum of Area Zero |
| title_fullStr | Almost 𝜶-Hyponormal Operators with Weyl Spectrum of Area Zero |
| title_full_unstemmed | Almost 𝜶-Hyponormal Operators with Weyl Spectrum of Area Zero |
| title_short | Almost 𝜶-Hyponormal Operators with Weyl Spectrum of Area Zero |
| title_sort | almost 𝜶 hyponormal operators with weyl spectrum of area zero |
| url | http://dx.doi.org/10.1155/2011/801313 |
| work_keys_str_mv | AT vasilelauric almostαhyponormaloperatorswithweylspectrumofareazero |