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Duals of Banach spaces of entire functions

Published online by Cambridge University Press:  18 May 2009

J. M. Anderson  and
J. Duncan
J. M. Anderson
Affiliation:
Mathematics Dept. University College London Wc1e6bt, U.K.
J. Duncan
Affiliation:
Dept. of Math. SciencesUniversity of Arkansas Fayetteville, AR 72701U.S.A.
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Let w be a strictly positive function on ℂ and let , respectively denote the Banach spaces of those entire functions φ(z) with ∣φ(z)∣= O(w(z)) and ∣φ(z)∣ = o(w(z)). In this generality, these spaces may contain only constants, but for many functions w(z) these will be interesting Banach spaces with norm

.

We study two specific problems.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 32 , Issue 2 , May 1990 , pp. 215 - 220
Copyright
Copyright © Glasgow Mathematical Journal Trust 1990

References

REFERENCES

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