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

Wikidata entity: Q2226660

P2534	defining formula	Math	$(ϕ \neq 0 \land \forall a, b \in A : ϕ (a b) = ϕ (a) ϕ (b)) ⟺ (\forall a \in A : ϕ (a) \in σ (a))$	???
P31	instance of	...	Q65943 (theorem)	theorem
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P138	named after	...	Q504857 (Andrew Gleason)	Andrew Gleason
P138	named after	...	Q550171 (Jean-Pierre Kahane)	Jean-Pierre Kahane
P138	named after	...	Q657990 (Wiesław Żelazko)	Wiesław Żelazko
P2579	studied by	...	Q190549 (functional analysis)	functional analysis

External Ids

P2671

Google Knowledge Graph ID

/g/120scz93

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