A real seminorm with square property is submultiplicative (Q1758646)
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| Language | Label | Description | Also known as |
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| English | A real seminorm with square property is submultiplicative |
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A real seminorm with square property is submultiplicative (English)
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15 November 2012
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Let \(A\) be a real algebra. A norm \(\|\cdot\|\) on \(A\) has the square property if \(\|x^2\|=\|x\|^2\) for all \(x\) in \(A\). The author shows that such a norm must be submultiplicative. He also considers quaternion-valued multiplicative linear functionals.
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real seminorm
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square property
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submultiplicative seminorm
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