Abstract. Spectral mapping theorems are proved for residual sets and quasianalytic spectral sets of polynomially bounded operators.

DOI: 10.14232/actasm-015-295-z

AMS Subject Classification (1991): 47A45, 47A60

Keyword(s): spectral mapping theorem, polynomially bounded operator, quasianalytic operator

Received June 24, 2015, and in revised form August 24, 2015. (Registered under 45/2015.)