40 citations · 64 across the 23 of their papers we have counts for
3 papers · 1 filter
Intrinsic Directions, Orthogonality and Distinguished Geodesics in the Symmetrized Bidisc
Jim Agler, Zinaida Lykova, N. J. Young
The symmetrized bidisc \[ G \stackrel{\rm{def}}{=}\{(z+w,zw):|z|<1,\ |w|<1\}, \] under the Carathéodory metric, is a complex Finsler space of cohomogeneity in which the geodesi…
Exterior powers and pointwise creation operators
Dimitrios Chiotis, Zinaida Lykova, N. J. Young
We develop a theory of pointwise wedge products of vector-valued functions on the circle and the disc, and obtain results which give rise to a new approach to the analysis of the m…
Exterior products of operators and superoptimal analytic approximation
Dimitrios Chiotis, Zinaida Lykova, Nicholas Young
We give a new algorithm for the construction of the unique superoptimal analytic approximant of a given continuous matrix-valued function on the unit circle, making use of exterior…