\(\mu\)-Hankel operators on Hilbert spaces. (English) Zbl 1511.47042
The paper under review deals with \(\mu\)-Hankel operators for any complex number \(\mu\). The authors study the boundedness, compactness, nuclearity as well as finite dimensionality for this new class of operators. Some interesting characterization results are obtained for \(\mu\)-Hankel operators with \(|\mu|=1\) on the Hardy space over the unit disc. Finally, the integral representation of \(\mu\)-Hankel operators is discussed.
Reviewer: Amit Maji (Bangalore)
MSC:
| 47B35 | Toeplitz operators, Hankel operators, Wiener-Hopf operators |
| 30H10 | Hardy spaces |
| 47B10 | Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) |
Keywords:
Hankel operator; \(\mu\)-Hankel operator; Hardy space; integral representation; nuclear operator; integral operatorReferences:
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