Growth of operator valued meromorphic functions
Olavi Nevanlinna · Annales Academiae Scientiarum Fennicae Mathematica · 2000
We discuss two characteristic functions, T1 and T1 , to measure the growth of operator valued meromorphic functions. The smaller one, T1 , is based on the operator norm, while T1 works within nitely trace class meromorphic functions and is preserved in inversion. Applications to perturbation analysis of linear operators are given.