Weighted composition and block shift matrix operators on $l^2(\mathbb{N})$ space

چکیده مقاله

In this paper we investigate some clasees of weighted composition operators on the
Hilbert space of complex valued functions on the natural numbers. Next we introduce a new
model of a block matrix operator M(a,b ) induced by two sequences a and b and characterize
its p-paranormality. Then we give examples of these operators to show that the p-paranormal
classes are distinct