Abstract.
For any natural number n we obtain some examples of continuous onto maps \(\phi : S\,\,\longrightarrow\, \,T\) for which Ditor's set \(\Delta _\phi ^2(2, 2)\) is empty but every averaging operator for \(\phi \) has norm greater or equal to 2n + 1.
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Received: 5.2.1999
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Blasco, J., Ivorra, C. A note on lower bounds of norms of averaging operators. Arch. Math. 74, 467–471 (2000). https://doi.org/10.1007/PL00000427
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DOI: https://doi.org/10.1007/PL00000427