Geodesic
Constructive Proof of the Carpenter's Theorem
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 463-476

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DOI

We give a constructive proof of the carpenter's theorem due to Kadison. Unlike the original proof, our approach also yields the real case of this theorem.
DOI : 10.4153/CMB-2013-037-x
Mots-clés : 42C15, 47B15, 46C05, diagonals of projections, the Schur–Horn theorem, the Pythagorean theorem, the carpenter–s theorem, spectral theory 
Bownik, Marcin; Jasper, John. Constructive Proof of the Carpenter's Theorem. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 463-476. doi: 10.4153/CMB-2013-037-x
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     title = {Constructive {Proof} of the {Carpenter's} {Theorem}},
     journal = {Canadian mathematical bulletin},
     pages = {463--476},
     year = {2014},
     volume = {57},
     number = {3},
     doi = {10.4153/CMB-2013-037-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-037-x/}
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