| Title:
|
On totally $\ast$-paranormal operators (English) |
| Author:
|
Ko, Eungil |
| Author:
|
Nam, Hae-Won |
| Author:
|
Yang, Youngoh |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
4 |
| Year:
|
2006 |
| Pages:
|
1265-1280 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study some properties of a totally $\ast $-paranormal operator (defined below) on Hilbert space. In particular, we characterize a totally $\ast $-paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for totally $\ast $-paranormal operators through the local spectral theory. Finally, we show that every totally $\ast $-paranormal operator satisfies an analogue of the single valued extension property for $W^{2}(D,H)$ and some of totally $\ast $-paranormal operators have scalar extensions. (English) |
| Keyword:
|
hyponormal |
| Keyword:
|
totally $\ast $-paranormal |
| Keyword:
|
hypercyclic |
| Keyword:
|
operators |
| MSC:
|
47A10 |
| MSC:
|
47A11 |
| MSC:
|
47B20 |
| MSC:
|
47B37 |
| MSC:
|
47B38 |
| MSC:
|
47B40 |
| idZBL:
|
Zbl 1164.47319 |
| idMR:
|
MR2280808 |
| . |
| Date available:
|
2009-09-24T11:42:44Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128144 |
| . |
| Reference:
|
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| . |
