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math.FA2019
Calcular Algebras
Jim Agler, John E. McCarthy, Nicholas J. Young
A calcular algebra is a subalgebra of with norm given by as ranges over a given class of commutative -tuples of operators with Taylo…
math.CV2019★ 10 cited
A Geometric Characterization of the Symmetrized Bidisc
Jim Agler, Zinaida Lykova, N. J. Young
The symmetrized bidisc \[ G \stackrel{\rm{def}}{=}\{(z+w,zw):|z|<1,\ |w|<1\} \] has interesting geometric properties. While it has a plentiful supply of complex geodesics and of au…