Free noncommutative hereditary kernels: Jordan decomposition, Arveson extension, kernel domination

DOI10.25537/DM.2022V27.1985-2040arXiv2202.01298MaRDI QIDQ6389987

Victor Vinnikov, Joseph A. Ball, Gregory Marx

Publication date: 2 February 2022

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Operator spaces and completely bounded maps (46L07) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Noncommutative function spaces (46L52) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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