Abstract
Several recent results in vectorial function theory are obviously of uniform-boundedness type, but their proofs have depended on category arguments rather than on the classical boundedness theorems. This paper is an attempt to find a new boundedness theorem that will simplify and unify these proofs, and perhaps be useful in other contexts.
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© 1972 Birkhäuser Verlag Basel
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Helson, H. (1972). Boundedness from Measure Theory. In: Butzer, P.L., Kahane, JP., Szökefalvi-Nagy, B. (eds) Linear Operators and Approximation / Lineare Operatoren und Approximation. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 20. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7283-6_11
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DOI: https://doi.org/10.1007/978-3-0348-7283-6_11
Publisher Name: Birkhäuser, Basel
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