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math.FA2026★ 1 cited
Rearrangement Invariant Orthogonal Sums in Krein Spaces. II
Michael A. Dritschel, Alejandra Maestripieri, James Rovnyak
Part I of the paper considered infinite orthogonal sums of regular subspaces in a Krein space (that is, of subspaces which are themselves Krein spaces). How precisely these sums sh…
math.FA2026
Hermitian indices and factorization of selfadjoint operators on a KreÄn space
Michael A. Dritschel, Alejandra Maestripieri, James Rovnyak
The hermitian indices of a selfadjoint operator on a KreÄn space are defined as geometric measures of positivity and negativity of the operator. A different pair…
math.FA2024
Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables
Michael A. Dritschel
It is shown using Schur complement techniques that on finite dimensional Hilbert spaces, a non-negative operator valued trigonometric polynomial in two variables with degree $(d_1,…