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· arXiv (Cornell University) · DOI 10.48550/arxiv.2405.08002 · arXiv 2405.08002

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math.FA 1

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2026 1

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Commutant lifting and interpolation on quotients of bounded symmetric domains

math.FA · 2026-06-04 · unverdicted · novelty 5.0

Provides equivalent criteria (contractivity of an L1 functional and a geometric distance formula) for Schur lifts of contractive module maps on quotient domains of bounded symmetric domains, with specialization to inner-function criteria on polydisc quotients and Nevanlinna-Pick interpolation.

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  • Commutant lifting and interpolation on quotients of bounded symmetric domains math.FA · 2026-06-04 · unverdicted · none · ref 16

    Provides equivalent criteria (contractivity of an L1 functional and a geometric distance formula) for Schur lifts of contractive module maps on quotient domains of bounded symmetric domains, with specialization to inner-function criteria on polydisc quotients and Nevanlinna-Pick interpolation.