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• W2782708814 abstract "A sequence of scalars is said to be admissible for a positive operator A on a Hilbert space if it is the diagonal of VAV* for some partial isometry V having as domain the closure of the range of A. When A is a projection, the celebrated Kadison's carpenter theorem provides a sufficient condition for a sequence to be admissible for A. We prove that the same condition is sufficient for the sequence to be admissible for A when A is a sum of projections (converging in the SOT). This provides an independent proof of Kadison's carpenter theorem." @default.
• W2782708814 created "2018-01-26" @default.
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• W2782708814 date "2018-01-14" @default.
• W2782708814 modified "2023-09-27" @default.
• W2782708814 title "Admissible sequences for positive operators" @default.
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