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References to 'vanish at infinity'
1. $C^*$-algebra by asteroid
2. applications of Urysohn's Lemma to locally compact Hausdorff spaces by azdbacks4234
3. decomposition of self-adjoint elements in positive and negative parts by asteroid
4. Feller process by mcarlisle
5. Gelfand transform by asteroid
6. Helmholtz decomposition by invisiblerhino
7. maximal ideals of the algebra of continuous functions on a compact set by asteroid
8. positive linear functional by asteroid
9. Riesz representation theorem (of linear functionals on function spaces) by asteroid
10. Stone-Weierstrass theorem for locally compact spaces by asteroid