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Interpolation of Entire Functions and Projective Descriptions

✍ Scribed by J. Bonet; S.N. Melikhov

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 136 KB
Volume: 205
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5209

No coin nor oath required. For personal study only.

✦ Synopsis

Special entire functions of completely regular growth with additional properties are utilized to interpolate entire functions with certain bounds, and to give an example of a weighted inductive limit of Banach spaces of entire functions such that its topology cannot be described by the canonical weighted sup-seminorms associated with the weights of the steps. This provides a new, more natural counterexample to a problem of Bierstedt, Meise, and Summers.

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