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Medientyp:
E-Artikel
Titel:
Application of the Sector Condition to the Classification of Submarkovian Semigroups
Beteiligte:
Silverstein, Martin L.
Erschienen:
The American Mathematical Society, 1978
Erschienen in:Transactions of the American Mathematical Society
Sprache:
Englisch
ISSN:
0002-9947
Entstehung:
Anmerkungen:
Beschreibung:
<p>Let $P_t, t > 0$, be a strongly continuous submarkovian semigroup on a real Hilbert space $L^2(X,m)$. The measure $m$ is assumed to be excessive and the $L^2$ generator $A$ is assumed to satisfy an estimate (the sector condition) which permits the application of Dirichlet spaces (not necessarily symmetric). Other submarkovian semigroups $P^\sim_t$ with the same local generator and cogenerator and relative to which $m$ is again excessive are classified in terms of generators for processes which live on a suitable boundary.</p>