Research Interests:
Functional analysis, operator theory,
complex analysis. In particular:
- Banach spaces of linear operators on Hilbert space:
C*-algebras, Nest algebras, JB*-triples, Schatten ideals. (Isometries,
contractive projections, complemented subspaces, connections with
infinite-dimensional holomorphy).
- Analysis on bounded symmetric domains: Invariant Banach and
Hilbert spaces of analytic functions, invariant mean value property and
harmonicity, Hankel operators, Berezin transform, quantization.
- Topics in operator theory: Interpolation of linear
operators, operator means, operator inequalities, boundedness of
Schur Multipliers.