On the Pointwise Spectrum of the Operators of the Commutant of a General Operator Increasing the Powers
Miryana S. Hristova · RePEc: Research Papers in Economics · 2013
My z y b z k dz , where 0 p is an integer and k b are arbitrary complex numbers, is considered in the space S of the polynomials with complex coefficients or more general of functions analytic around the origin.A power series description of the commutant of M was given by the author in Hristova (1991) and the question about the minimal commutativity (in the sense of Raichinov ( 1979)) of M was also discussed.This paper is a follow-up of previous research and offers various cases in which the pointwise spectrum of the operators of the commutant can be described.