TY - JOUR
AU - V. I. Rabanovych
PY - 2005/03/25
Y2 - 2024/05/26
TI - On the Decomposition of a Diagonal Operator into a Linear Combination of Idempotents or Projectors
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 57
IS - 3
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3606
AB - For a bounded operator that is not a sum of scalar and compact operators and is similar to a diagonal operator, we prove that it is a linear combination of three idempotents. It is also proved that any self-adjoint diagonal operator is a linear combination of four orthoprojectors with real coefficients.
ER -