A Measurable Selector in Kadison’s Carpenter’s Theorem

Marcin Bownik; Marcin Szyszkowski

doi:10.4153/s0008414x19000373

A Measurable Selector in Kadison’s Carpenter’s Theorem

Abstract

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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Authors (2)

Marcin Bownik prof
Marcin Szyszkowski dr

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Publication version: Accepted or Published Version
License: Copyright (2019 Canadian Mathematical Society)

Keywords

SCHUR–HORN PROBLEM, DIAGONAL OF SELF-ADJOINT OPERATOR, CARPENTER’S THEOREM.

Details

Category:: Articles
Type:: artykuły w czasopismach
Published in:: CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES no. 72, pages 1505 - 1528,
ISSN: 0008-414X
Language:: English
Publication year:: 2020
Bibliographic description:: Bownik M., Szyszkowski M.: A Measurable Selector in Kadison’s Carpenter’s Theorem// CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES -Vol. 72,iss. 6 (2020), s.1505-1528
DOI:: Digital Object Identifier (open in new tab) 10.4153/s0008414x19000373
Verified by:: Gdańsk University of Technology