On the numerical range of generators of symmetric L∞-contractive semigroups
A result by Liskevich and Perelmuter from 1995 yields the optimal angle of analyticity for symmetric submarkovian semigroups on L p , 1 < p < ∞ . C. Kriegler showed in 2011 that the result remains true without the assumption of positivity of the semigroup. Here we give an elementary proof of K...
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| Veröffentlicht in: | Archiv der Mathematik 2016-11, Vol.107 (5), p.553-559 |
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| container_issue | 5 |
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| container_title | Archiv der Mathematik |
| container_volume | 107 |
| creator | Haase, Markus Kunstmann, Peer Christian Vogt, Hendrik |
| description | A result by Liskevich and Perelmuter from 1995 yields the optimal angle of analyticity for symmetric submarkovian semigroups on
L
p
,
1
<
p
<
∞
. C. Kriegler showed in 2011 that the result remains true without the assumption of positivity of the semigroup. Here we give an elementary proof of Kriegler’s result. |
| doi_str_mv | 10.1007/s00013-016-0945-8 |
| format | Article |
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| ispartof | Archiv der Mathematik, 2016-11, Vol.107 (5), p.553-559 |
| issn | 0003-889X 1420-8938 |
| language | eng |
| recordid | cdi_proquest_journals_1880852375 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Mathematics Mathematics and Statistics |
| title | On the numerical range of generators of symmetric L∞-contractive semigroups |
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