Finite rank intermediate Hankel operators and the big Hankel operator

Tomoko Osawa

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-3

Abstract:

Let L a 2 be a Bergman space. We are interested in anintermediate Hankel operator H φ M from L a 2 to a closed subspace M of L 2 which is invariant under the multiplication by the coordinate function z . It is well known that there do not exist any nonzero finite rank big Hankeloperators, but we are studying same types in case H φ M is close to big Hankel operator. As a result, we give a necessary andsufficient condition about M that there does not exist a finite rank H φ M except H φ M = 0 .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:051705

DOI: 10.1155/IJMMS/2006/51705

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