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- W199396246 abstract "We factor a quasi-diagonal unitary in the multiplier algebra M(A ⊗ K) as a product of a diagonal unitary and a perturbation of the identity by an element of A ⊗ K. This, combined with a break-through result of H. Lin [21], yields that the generalized Weyl-von Neumann theorem holds in M(A ⊗ K) if and only if K 1(A) = 0 and every unitary in M(A ⊗ K) is quasi-diagonal. In turn, PR(M(A ⊗ K)) = 0 iff K 1(A) = 0 and for each unitary u of M(A ⊗ K) there exists an approximate identity {e n} of A ⊗ K consisting of projections such that $$parallel {{e}_{n}} - u{{e}_{n}}{{u}^{*}}parallel to 0$$ ." @default.
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- W199396246 date "1994-01-01" @default.
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- W199396246 title "Quasi-Diagonalizing Unitaries and the Generalized Weyl-Von Neumann Theorem" @default.
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- W199396246 doi "https://doi.org/10.1007/978-1-4612-0255-4_18" @default.
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