Gleason–Kahane–Żelazko theorem
theorem that a nonzero linear functional on a unital complex Banach algebra is multiplicative iff it maps each element of the Banach algebra to an element of its spectrum
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Gleason–Kahane–Żelazko theorem
Summary
Gleason–Kahane–Żelazko theorem is a theorem[1].
Key Facts
- Gleason–Kahane–Żelazko theorem's instance of is recorded as theorem[2].
- Andrew Gleason is named after Gleason–Kahane–Żelazko theorem[3].
- Jean-Pierre Kahane is named after Gleason–Kahane–Żelazko theorem[4].
- Wiesław Żelazko is named after Gleason–Kahane–Żelazko theorem[5].
- Gleason–Kahane–Żelazko theorem's defining formula is recorded as (\phi\ne0\land\forall a,b\in A\colon \phi(ab)=\phi(a)\phi(b))\iff(\forall a\in A\colon\phi(a)\in\sigma(a))[6].
- Gleason–Kahane–Żelazko theorem's studied by is recorded as functional analysis[7].
- Gleason–Kahane–Żelazko theorem's Google Knowledge Graph ID is recorded as /g/120scz93[8].
- Gleason–Kahane–Żelazko theorem's maintained by WikiProject is recorded as WikiProject Mathematics[9].