23 citations · 69 across the 15 of their papers we have counts for
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math.FA2014★ 10 cited
Diagonality and idempotents with applications to problems in operator theory and frame theory
Jireh Loreaux, Gary Weiss
We prove that a nonzero idempotent is zero-diagonal if and only if it is not a Hilbert-Schmidt perturbation of a projection, along with other useful equivalences. Zero-diagonal ope…
math.FA2014★ 23 cited
Majorization and a Schur-Horn Theorem for positive compact operators, the nonzero kernel case
Jireh Loreaux, Gary Weiss
Schur-Horn theorems focus on determining the diagonal sequences obtainable for an operator under all possible basis changes, formally described as the range of the canonical condit…