Marcin Szyszkowski - Publications - Bridge of Knowledge

dr Marcin Szyszkowski

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schur-horn problem, diagonal of self-adjoint operator, carpenter's theorem.

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Year 2020

A Measurable Selector in Kadison’s Carpenter’s Theorem
Publication
- M. Bownik
- M. Szyszkowski
- CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES - Year 2020
We show the existence of a measurable selector in Carpenter’s Theorem due to Kadison. This solves a problem posed by Jasper and the first author in an earlier work. As an application we obtain a characterization of all possible spectral functions of shift-invariant subspaces of L 2 (R d ) and Carpenter’s Theorem for type I ∞ von Neumann algebras.

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