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- W2891756337 abstract "We study the matrix range of a tuple of compact operators on a Hilbert space and examine the notions of minimal , nonsingular , and fully compressed tuples. In this pursuit, we refine previous results by characterizing nonsingular compact tuples in terms of matrix extreme points of the matrix range. Further, we find that a compact tuple A is fully compressed if and only if it is multiplicity-free and the Shilov ideal is trivial, which occurs if and only if A is minimal and nonsingular. Fully compressed compact tuples are therefore uniquely determined up to unitary equivalence by their matrix ranges. We also produce a proof of this fact which does not depend on the concept of nonsingularity." @default.
- W2891756337 created "2018-09-27" @default.
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- W2891756337 date "2019-03-01" @default.
- W2891756337 modified "2023-10-03" @default.
- W2891756337 title "Compressions of compact tuples" @default.
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- W2891756337 doi "https://doi.org/10.1016/j.laa.2018.12.002" @default.
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