Some results on invariant subspaces /
We investigate the structure of operators which are norm
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
[Place of publication not identified] :
[publisher not identified] ;
1997.
|
| Subjects: | |
| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=736580421&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | We investigate the structure of operators which are norm limits of nilpotent operators. In particular, we try to find some properties which an approximating sequence must have. We also study a special class of Toeplitz operators and show that each operator in the class does not commute with any nonzero compact operator, but a-commutes with some nonzero c ompact operator. We make a study of the status of the invariant subspace problem for hyponormal operators. Most results providing nontrivial invariant subspaces for such operators involve the geometry of the spectrum. In particular, we give properties which the spectrum of a hyponormal operator with no nontrivial invariant subspaces must have, and we show that certain of these operators have nontrivial invariant subspaces. |
|---|---|
| Item Description: | Vita. "Major Subject: Mathematics". |
| Physical Description: | v, 60 leaves ; 28 cm. Issued also on microfiche from University Microfilms Inc. |
| Bibliography: | Includes bibliographical references: pages 54-59. |