NOTATION GUID E /4Q(W) Th e spectral radius of W w.r.t . the set 11 1 Chapter 11 (OPT) Fin d MfeAN snp e T(el0, f(el0)), wher e 12 1 F(e*0, z) is a nonnegative-valued functio n of e^andsGC" . K(A) Th e condition number 12 3 sup^inffl | J2j a ohj: ^ € BA ^ wno ]C a jA? ^ 0 } where Aw = set of N-vector valued functions analyti c an d continuous on the disk BA N = {h e A N : Z 3 IM 2 l} i a n d ai(c^) = (ar/^)(6^,/ 0 (c»ff)). Throughout B i s a prefix whic h stands for open unit ball , e.g., BL 2 = { / G £ 2 II/IIL 2 !} • Fo r th e close d uni t bal l we use B. Als o L P N ,HV N sometimes denotes a functio n spac e o n th e circl e an d sometime s a functio n spac e o n tn e imaginary axis. Ther e should be little trouble in telling which usage is intended in any particular context. Afte r Chapte r 2 the circle is used almost exclusively.

Purchased from American Mathematical Society for the exclusive use of nofirst nolast (email unknown) Copyright 1987 American Mathematical Society. Duplication prohibited. Please report unauthorized use to cust-serv@ams.org. Thank You! Your purchase supports the AMS' mission, programs, and services for the mathematical community.