Application of Scalar Type Operators to Decomposability
Journal of Advances in Mathematics and Computer Science,
In this paper, we give some application of scalar type operators to Decomposibility. In particular, we show that if H is of (α, α + 1) type R and that it generates a strongly continuous group on a Banach space, then its resolvent is Decomposable hence scalar type.
- Decomposable operators
- Bishop’s property
How to Cite
Albrecht E, Eschmeier J. Analytic functional models and local spectral theory. Proceedings of London Math. Soc. 1997;75:323-348.
Laursen K, Neumann M. An introduction to local spectral theory. Clarendon Press, Oxford; 2000.
Duren P. Hp Spaces, Academic Press, New York; 1970.
Onyango; JAMCS, 36(7): 38-44, 2021; Article no.JAMCS.67374
Cowen CC, MacCluer BD. Composition operators on spaces of analytic functions. CRC Press, Boca Raton; 1995.
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