Gleason-kahane-Żelazko theorem for spectrally bounded algebra
We prove by elementary methods the following generalization of a theorem due to Gleason, Kahane, and Żelazko. Let A be a real algebra with unit 1 such that the spectrum of every element in A is bounded and let φ:A→ℂ be a linear map such that φ(1)=1 and (φ(a))2+(φ(b))2≠0 for all a, b in A satisfying...
| मुख्य लेखकों: | , |
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| स्वरूप: | लेख |
| भाषा: | English |
| प्रकाशित: |
Hindawi Limited
2005-01-01
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| श्रृंखला: | International Journal of Mathematics and Mathematical Sciences |
| ऑनलाइन पहुंच: | http://dx.doi.org/10.1155/IJMMS.2005.2447 |