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On analytic semigroups and cosine functions in Banach spaces

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Keyantuo V., Vieten P.

Studia Mathematica

1998

tom 129

nr 2

137-156

If A generates a bounded cosine function on a Banach space X then the negative square root B of A generates a holomorphic semigroup, and this semigroup is the conjugate potential transform of the cosine function. This connection is studied in detail, and it is used for a characterization of cosine function generators in terms of growth conditions on the semigroup generated by B. The characterization relies on new results on the inversion of the vector-valued conjugate potential transform.

Ograniczanie wyników

1 Studia Mathematica

1 Keyantuo V.

1 Vieten P.

1 1998

Wyniki wyszukiwania

On analytic semigroups and cosine functions in Banach spaces