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Leibniz Seminorms and Best Approximation from C*-subalgebras

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arxiv 1008.3733 v4 pith:4MOCKMCD submitted 2010-08-23 math.OA math.FA

Marc A. Rieffel (U. C. Berkeley) This is my paper · ORCID
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keywords algebraapproximationbestelementsleibnizsubalgebraunitalapproximate
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We show that if B is a C*-subalgebra of a C*-algebra A such that B contains a bounded approximate identity for A, and if L is the pull-back to A of the quotient norm on A/B, then L is strongly Leibniz. In connection with this situation we study certain aspects of best approximation of elements of a unital C*-algebra by elements of a unital C*-subalgebra.

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  1. Quantum Hamming Metrics

    math.OA 2025-07 conditional novelty 6.0 of 10

    The quantum Hamming metric is derived from the classical Hamming metric by expressing the Lipschitz constant as a maximum of quotient-norm seminorms and then dropping commutativity.

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