Dr. Ray Ryan

Phone:

+353 91 524411 extn: 2331

Fax:

+353 91 525700

e-mail:

ray.ryan@nuigalway.ie

Research Interests

• Polynomials on Banach Spaces
• Tensor products of Banach Spaces
• Holomorphic functions on complex Banach Spaces

Some of the problems I am currently working on

• Factorization of weakly continous polynomials through compact sets and related problems concerning uniform compact factorization of compact sets of compact operators.
• Geometric properties of the space of n-homogeneous polynomials, such as characterization of smooth points and extreme points.
• Lower-bound inequalities for the norm of a product of linear functionals.
• Mononial expansions for nuclear polynomials on C_0.