Geodesic
Finite Rank Operators and Functional Calculus on Hilbert Modules over Abelian C *-Algebras
Canadian mathematical bulletin, Tome 40 (1997) no. 2, pp. 193-197

Voir la notice de l'article provenant de la source Cambridge University Press

We consider the problem: If K is a compact normal operator on a Hilbert module E, and f ∈ C0 (Sp K) is a function which is zero in a neighbourhood of the origin, is f(K) of finite rank? We show that this is the case if the underlying C *-algebra is abelian, and that the range of f(K) is contained in a finitely generated projective submodule of E.
DOI : 10.4153/CMB-1997-023-3
Mots-clés : Primary: 55R50, 47A60, 47B38 
Kucerovsky, Dan. Finite Rank Operators and Functional Calculus on Hilbert Modules over Abelian C *-Algebras. Canadian mathematical bulletin, Tome 40 (1997) no. 2, pp. 193-197. doi: 10.4153/CMB-1997-023-3
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