Some remarks on the invariant subspace problem for hyponormal operators
We make some remarks concerning the invariant subspace problem for hyponormal operators. In particular, we bring together various hypotheses that must hold for a hyponormal operator without nontrivial invariant subspaces, and we discuss the existence of such operators.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201011966 |
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doaj-08a1004cf3554ae6b74c3918bf4007592020-11-25T01:57:59ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128635936510.1155/S0161171201011966Some remarks on the invariant subspace problem for hyponormal operatorsVasile Lauric0Department of Mathematics, Wheeling Jesuit University, Wheeling 26003, WV, USAWe make some remarks concerning the invariant subspace problem for hyponormal operators. In particular, we bring together various hypotheses that must hold for a hyponormal operator without nontrivial invariant subspaces, and we discuss the existence of such operators.http://dx.doi.org/10.1155/S0161171201011966 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Vasile Lauric |
| spellingShingle |
Vasile Lauric Some remarks on the invariant subspace problem for hyponormal operators International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Vasile Lauric |
| author_sort |
Vasile Lauric |
| title |
Some remarks on the invariant subspace problem for hyponormal operators |
| title_short |
Some remarks on the invariant subspace problem for hyponormal operators |
| title_full |
Some remarks on the invariant subspace problem for hyponormal operators |
| title_fullStr |
Some remarks on the invariant subspace problem for hyponormal operators |
| title_full_unstemmed |
Some remarks on the invariant subspace problem for hyponormal operators |
| title_sort |
some remarks on the invariant subspace problem for hyponormal operators |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2001-01-01 |
| description |
We make some remarks concerning the
invariant subspace problem for hyponormal operators. In
particular, we bring together various hypotheses that
must hold for a hyponormal operator without nontrivial
invariant subspaces, and we discuss the existence of
such operators. |
| url |
http://dx.doi.org/10.1155/S0161171201011966 |
| work_keys_str_mv |
AT vasilelauric someremarksontheinvariantsubspaceproblemforhyponormaloperators |
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