GHER ORDER QUASI COMPLEX HELTON CLASS OF HILBERT SPACES OPERATORS

Abstract

In this paper, we introduce a new class of operators related to a conjugation operator on a Hilbert space, we which called the class of n-quasi complex Helton class of operators with order m. We discuss the most interesting results concerning these classes of operators obtained form the idea of extant results for a number of classes of operators, amongst them Helton class of order m and quasi-Helton class of order m, n-quasi (m, C)-symmetric operators (for some conjugation C of H.