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Singular Symmetric Functionals
Journal of Mathematical Sciences, 2004The inspiration for the results of this paper is the theorm of \textit{J.~Dixmier} [C.\ R.\ Acad.\ Sci., Paris, Sér.~A 262, 1107--1108 (1966; Zbl 0141.12902)] that there exist nonnormal traces on the von Neumann factor \(B(H)\) which are singular in the sense that they vanish on all finite rank operators.
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Multiplicity of Functions On Singular Varieties
International Journal of Mathematics, 2003Let V be a local complete intersection in a complex manifold W. For a function g on W, we set f = g|V and f′ = g|V′, where V′ denotes the non-singular part of V. For each compact connected component S of the union of the singular set of V and the critical set of f′, we define the virtual multiplicity [Formula: see text] of f at S as the residue of the
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