| Title:
|
Generalized spectral perturbation and the boundary spectrum (English) |
| Author:
|
Mouton, Sonja |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
2 |
| Year:
|
2021 |
| Pages:
|
603-621 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
By considering arbitrary mappings $\omega $ from a Banach algebra $A$ into the set of all nonempty, compact subsets of the complex plane such that for all $a \in A$, the set $\omega (a)$ lies between the boundary and connected hull of the exponential spectrum of $a$, we create a general framework in which to generalize a number of results involving spectra such as the exponential and singular spectra. In particular, we discover a number of new properties of the boundary spectrum. (English) |
| Keyword:
|
exponential spectrum |
| Keyword:
|
singular spectrum |
| Keyword:
|
boundary spectrum |
| Keyword:
|
boundary and hull |
| Keyword:
|
(strong) Riesz property |
| Keyword:
|
Mobius spectrum |
| MSC:
|
46H10 |
| MSC:
|
47A10 |
| idZBL:
|
07361088 |
| idMR:
|
MR4263189 |
| DOI:
|
10.21136/CMJ.2021.0046-20 |
| . |
| Date available:
|
2021-05-20T13:49:13Z |
| Last updated:
|
2023-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148924 |
| . |
| Reference:
|
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