Some classes of partial Volterra operators acting with respect to a real variable on a function of one complex and one real variable are explored. The case when the operator kernels depend additionally on a complex parameter is also considered. It is proved that Volterra operators from these classes
On some classes of operators II
✍ Scribed by Vasile IstrĂţescu; Ioana IstrĂţescu
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 410 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0025-5831
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📜 SIMILAR VOLUMES
A bounded linear operator A on a Banach space is called relatively regular, if there is a bounded linear operator B such that ABA = A. In this case B is called a g 1 -inverse of A. In this paper we characterize some classes of relatively regular operators A via the set {B 1 -B 2 : B 1 and B 2 are g
T . Clearly, for such operators, T\*kTk= (T\*T)k for all k z 2 . This fact provides a motivation to generalize the class of quasi-normal operators as follows: An operator T is defined to be of class Obviously ( M ; 2 ) contains hyponormal operators. However, we shall show that the class ( M ; k ) ,