Holomorphic families of forms, operators and C0-semigroups
نویسندگان
چکیده
If z 7→ az is a holomorphic function with values in the sectorial forms in a Hilbert space, then the associated operator valued function z 7→ Az is resolvent holomorphic. We give a proof of this result of Kato, on the basis of the Lax-Milgram lemma. We also show that the C0-semigroups Tz generated by −Az depend holomorphically on z. MSC 2010: 47A07, 47B44, 47D06
منابع مشابه
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