Gelfand representation is a way of representing commutative Banach algebras as algebras of continuous functions.
Gelfand representation can be related to functional analysis, Banach algebras and $C^*$-algebras.
Questions tagged [gelfand-representation]
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What is the purpose of making no reference to operators on a Hilbert space (Gelfand-Naimark)?
I read from here pag. 209
The residue ring of an *-ring is an *-ring itself. Hence follows that if R is a closed *-subring of the ring of operators in Hilbert space, then any its residue ring can be imbedded into the ring of operators in Hilbert…
Jack
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