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.
|Number of pages||21|
|Journal||Israel Journal of Mathematics|
|State||Published - Sep 1979|
ASJC Scopus subject areas
- Mathematics (all)