Boundary maps and maximal representations on infinite dimensional Hermitian symmetric spaces

An Einstein space is a manifold of dimension n endowed with a rieman- nian metric g proportional to the Ricci tensor of the Levi-Civita connec-.. tion of

the normal rule of quantization Ref.. j~ is called the contravariant Weyl symbol of the operator A. [1 ]) the isometry group acts on the covariant symbols of..

Moreover, in view of Remark 1.5, Corollary 1.4 gives another proof of the fact that the second bounded cohomology group of a free group in at least two generators is

The dimension of the (0,^)-cohomology group of E(J^) is expressed by means of this formula. We denote by ad 4. the representation of K on the exterior product space A^ induced from

Our investigations provide also a direct sum decomposition of the Schwartz space (cf.. 1.13 Finally, I would like to thank Prof. Olbrich for having given me the opportunity to work

Keywords : Symmetric norm; Matrix Inequalities; Partial positive transpose matrix; Hermitian Block-matrices.. AMS-2010 subj class: 15A60,

After recalling in Section 2 the main notions concerning curves and geodesics in metric spaces, in Section 3 we consider the abstract problem of minimizing a weighted length in a

We study conditions for the existence of a Maassen kernel representa- tion for operators on infinite dimensional toy Fock spaces.. When applied to the toy Fock space of discrete