M. Argerami, Majorisation and the Carpenter's Theorem, Integral Equations and Operator Theory, 82, no. 1, (2015), 33–49, doi: 10.1007/s00020-014-2180-7.
[2]
W. Arveson, Diagonals of normal operators with finite spectrum, Proceedings of the National Academy of Sciences of the United States of America, 104, no. 4, (2007), doi: 10.1073/pnas.0605367104.
[3]
W. Amrein and K. B. Sinha, On pairs of projections in a Hilbert space, Linear Algebra and its Applications, 208/209, (1994), 425–435, doi: 10.1016/0024-3795(94)90454-5.
[4]
J. E. Avron, R. Seiler and B. Simon, The index of a pair of projections, Journal of Functional Analysis, 120, no. 1, (1994), 220–237, doi: 10.1006/jfan.1994.1031.
[5]
L. Brown, R. Douglas and P. Fillmore, Unitary equivalence modulo the compact operators and extensions of \(C^{\ast}\)-algebras, Proceedings of a Conference on Operator Theory, 345, (1973).
[6]
M. Bownik and J. Jasper, The Schur–Horn theorem for operators with finite spectrum, Transactions of the American Mathematical Society, 367, no. 7, (2015), 5099–5140, doi: 10.1090/S0002-9947-2015-06317-X.
[7]
L. G. Brown and H. H. Lee, Homotopy classification of projections in the corona algebra of a non-simple \(C^*\)-algebra, Canadian Journal of Mathematics, 64, no. 4, (2012), 755–777, doi: 10.4153/S0002-9947-2015-06317-X.
[8]
D. Beltiţă, S. Patnaik and G. Weiss, Cartan subalgebras of operator ideals, Indiana University Mathematics Journal, 65, no. 1 (2016), 1–37, doi: 10.1512/iumj.2016.65.5784.
[9]
A. Carey and J. Phillips, Spectral flow in Fredholm modules, eta invariants and the JLO cocycle, \(K\)-theory, 31, no. 2, (2004), 135–194, doi: B:KTHE.0000022922.68170.61.
[10]
K. Dykema, T. Figiel, M. Wodzicki, and G. Weiss, Commutator structure of operator ideals, Advances in Mathematics, 185, no. 1 (2004), 1–79, doi: 10.1016/S0001-8708(03)00141-5.
[11]
A. Hinkkanen, On the diagonalization of a certain class of operators, Michigan Mathematics Journal, 32, (1985), 349–359, doi: 10.1307/mmj/1029003243.
[12]
R. V. Kadison, The Pythagorean Theorem II: The finite case, Proceedings of the National Academy of Sciences of the United States of America, 99, no. 7, (2002), 4178–4184, doi: 10.1073/pnas.032677199.
[13]
R. V. Kadison, The Pythagorean Theorem II: The infinite discrete case, Proceedings of the National Academy of Sciences of the United States of America, 99, no. 8, (2002), 5217–5222, doi: 10.1073/pnas.032677299.
[14]
V. Kaftal and J. Loreaux, Kadison's Pythagorean Theorem and essential codimension, Integral Equations and Operator Theory, 87, (2017), 565–580 doi: 10.1007/s00020-017-2365-y.
[15]
V. Kaftal and G. Weiss, Majorization and arithmetic mean ideals, Indiana University Mathematics Journal, 60, no. 5, (2011), 1393–1424, doi: 10.1512/iumj.2011.60.4603.
[16]
D. Voiculescu, Some results on norm-ideal perturbations of Hilbert space operators, Journal of Operator Theory, 2, no. 1, (1979), 3–37.