Generators of C 0 ‐groups with smallest spectra
Let T = { T ( t )} t ∈ℝ be a C 0 ‐group on a Banach space X with generator A . Under what conditions the assumption σ ( A ) = {0} implies that A = 0? This is called “ A = 0” problem. In this paper we present some results related to this problem. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim...
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| Veröffentlicht in: | Mathematische Nachrichten 2007-06, Vol.280 (8), p.924-931 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
T
= {
T
(
t
)}
t
∈ℝ
be a
C
0
‐group on a Banach space
X
with generator
A
. Under what conditions the assumption
σ
(
A
) = {0} implies that
A
= 0? This is called “
A
= 0” problem. In this paper we present some results related to this problem. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
|---|---|
| ISSN: | 0025-584X 1522-2616 |
| DOI: | 10.1002/mana.200410525 |