Abstract
We find numerical analytic invariants distinguishing between the infinite dimensional analogues of the classical Cartan domains of different type. Further, we define an invariant Hermitian metric on the classical bounded symmetric domains and certain infinite dimensional analogues and show that of all such metrics this is the only one (up to a constant multiple) which yields the best constant in the Schwarz-Pick inequality.
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Research partially supported by N.S.F. grant MCS 76-06975 A01.
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Harris, L.A. Analytic invariants and the Schwarz-Pick inequality. Israel J. Math. 34, 177–197 (1979). https://doi.org/10.1007/BF02760882
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DOI: https://doi.org/10.1007/BF02760882