Differentation under the integral sign and holomorphy.
Vervollständigung streng ausgeglichener Limesvektorräume I.
Vervollständigung streng ausgeglichener Limesvektorräume II.
On an integral transform by R. S. Phillips
The properties of a transformation by R.S. Phillips, which transforms an exponentially bounded C 0-semigroup of operators T(t) to a Yosida approximation depending on h, are studied. The set of exponentially bounded, continuous functions f: [0, ∞[→ E with values in a sequentially complete L c-embedded space E is closed under the transformation. It is shown that for certain complex h and k, and that , where the limit is uniform in t on compact subsets of the positive real line. If f is Hölder-continuous...
Function Algebras on which Homomorphisms are Point Evaluations on Sequences.
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