Cyclicity of Cowen-Douglas Operators

Authors
Qing, Lin
Citation
Qing, Lin, Cyclicity of Cowen-Douglas Operators, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 4(3), 1988, pp. 284-288
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
4
Issue
3
Year of publication
1988
Pages
284 - 288
Database
ACNP
SICI code
Abstract
Cowen-Douglas operators are important Fredholm operators of positive index, for which we can calculate the complete unitary invariants. On the other hand, the cyclicity of an operator is an important 16 property, which provides a useful tool for studing this operator. This paper is devoted to prove: Every Cowen- Douglas operator is cyclic.