Diagonals of Self-adjoint Operators with Finite Spectrum

Marcin Bownik, and John Jasper. "Diagonals of Self-adjoint Operators with Finite Spectrum." Bulletin of the Polish Academy of Sciences. Mathematics 63.3 (2015): 249-260. <http://eudml.org/doc/281157>.

@article{MarcinBownik2015,
abstract = {Given a finite set X⊆ ℝ we characterize the diagonals of self-adjoint operators with spectrum X. Our result extends the Schur-Horn theorem from a finite-dimensional setting to an infinite-dimensional Hilbert space analogous to Kadison's theorem for orthogonal projections (2002) and the second author's result for operators with three-point spectrum (2013).},
author = {Marcin Bownik, John Jasper},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {diagonals of self-adjoint operators; Schur-Horn theorem; Pythagorean theorem; finite spectrum},
language = {eng},
number = {3},
pages = {249-260},
title = {Diagonals of Self-adjoint Operators with Finite Spectrum},
url = {http://eudml.org/doc/281157},
volume = {63},
year = {2015},
}

TY - JOUR
AU - Marcin Bownik
AU - John Jasper
TI - Diagonals of Self-adjoint Operators with Finite Spectrum
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2015
VL - 63
IS - 3
SP - 249
EP - 260
AB - Given a finite set X⊆ ℝ we characterize the diagonals of self-adjoint operators with spectrum X. Our result extends the Schur-Horn theorem from a finite-dimensional setting to an infinite-dimensional Hilbert space analogous to Kadison's theorem for orthogonal projections (2002) and the second author's result for operators with three-point spectrum (2013).
LA - eng
KW - diagonals of self-adjoint operators; Schur-Horn theorem; Pythagorean theorem; finite spectrum
UR - http://eudml.org/doc/281157
ER -