Abstract
Let \(\mathbb {K}\) be an extension of the field \(\mathbb {Q}\) of rational numbers. We prove an algebraic characterization of the additive iterative roots of identity defined on a vector space X over the field \(\mathbb {K}\) which save a Hamel basis of X (a basis of X over \(\mathbb {Q}\)). The method is based on a canonical decomposition theorem.
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Dedicated to Professor Karol Baron on his 70th birthday.
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Jabłoński, W. A characterization of additive iterative roots of identity with respect to invariant subspaces. Aequat. Math. 93, 247–255 (2019). https://doi.org/10.1007/s00010-018-0606-z
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DOI: https://doi.org/10.1007/s00010-018-0606-z