Gleason-kahane-ˋelazko theorem for spectrally bounded algebra

作者:S H Kulkarni; D Sukumar
来源:International Journal of Mathematics and Mathematical Sciences, 2005.
DOI:10.1155/ijmms.2005.2447

摘要

We prove by elementary methods the following generalization of a theorem due to Gleason, Kahane, and %26#379;elazko. Let A be a real algebra with unit 1 such that the spectrum of every element in A is bounded and let %26#966;:A%26#8594;%26#8450; be a linear map such that %26#966;(1)=1 and (%26#966;(a))2

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