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Almost multiplicative functions and almost linear multiplicative functionals

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Summary.

We obtain two improvements of Baker's result on the stability of multiplicative functions. Using these results we study approximately linear multiplicative functionals on Banach algebras.

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Authors and Affiliations

  1. Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia, e-mail: peter.semrl@fmf.uni-lj.si, Slovenia

    P. Šemrl

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  1. P. Šemrl
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Received: June 8, 2000, revised version: October 24, 2000.

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Šemrl, P. Almost multiplicative functions and almost linear multiplicative functionals. Aequat. Math. 63, 180–192 (2002). https://doi.org/10.1007/s00010-002-8016-6

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  • DOI: https://doi.org/10.1007/s00010-002-8016-6

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