Finite rank intermediate Hankel operators and the big Hankel operator
Let La2 be a Bergman space. We are interested in an intermediate Hankel operator HφM from La2 to a closed subspace M of L2 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 Hankel operators, but we are study...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/51705 |
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| _version_ | 1832549879142940672 |
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| author | Tomoko Osawa |
| author_facet | Tomoko Osawa |
| author_sort | Tomoko Osawa |
| collection | DOAJ |
| description | Let La2 be a Bergman space. We are interested in an
intermediate Hankel operator HφM from La2 to a closed subspace M of L2 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 Hankel
operators, but we are studying same types in case HφM is close to big Hankel operator. As a result, we give a necessary and
sufficient condition about M that there does not exist a finite rank HφM except HφM=0. |
| format | Article |
| id | doaj-art-b74c0cb9e3154eaea5647b8a1266d82a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b74c0cb9e3154eaea5647b8a1266d82a2025-02-03T06:08:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5170551705Finite rank intermediate Hankel operators and the big Hankel operatorTomoko Osawa0Mathematical and Scientific Subjects, Asahikawa National College of Technology, Asahikawa 071-8142, JapanLet La2 be a Bergman space. We are interested in an intermediate Hankel operator HφM from La2 to a closed subspace M of L2 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 Hankel operators, but we are studying same types in case HφM is close to big Hankel operator. As a result, we give a necessary and sufficient condition about M that there does not exist a finite rank HφM except HφM=0.http://dx.doi.org/10.1155/IJMMS/2006/51705 |
| spellingShingle | Tomoko Osawa Finite rank intermediate Hankel operators and the big Hankel operator International Journal of Mathematics and Mathematical Sciences |
| title | Finite rank intermediate Hankel operators and the big Hankel operator |
| title_full | Finite rank intermediate Hankel operators and the big Hankel operator |
| title_fullStr | Finite rank intermediate Hankel operators and the big Hankel operator |
| title_full_unstemmed | Finite rank intermediate Hankel operators and the big Hankel operator |
| title_short | Finite rank intermediate Hankel operators and the big Hankel operator |
| title_sort | finite rank intermediate hankel operators and the big hankel operator |
| url | http://dx.doi.org/10.1155/IJMMS/2006/51705 |
| work_keys_str_mv | AT tomokoosawa finiterankintermediatehankeloperatorsandthebighankeloperator |