Let {βn} be a sequence of positive real numbers with β (0)= 1. For 1≤ p<∞, let Hp (β) be the
space of formal series {f: f (z)=∑∞ n= 0 fnzn}, where {fn}∞ n= 0 is a sequence of complex …

In this paper, we characterize nontrivially essentially self-adjoint weighted composition
operators on the Hardy space and the weighted Bergman spaces, when is not an …

For 0< s< 1, let φs (z)= sz+(1–s). We investigate the unital C*-algebra generated by the
semigroup {C_φ_s:0<s<1\} of composition operators acting on the Hardy space of the unit …

It was shown by Gunatillake [3] that the spectrum of weighted composition operator Wθ, φ on
weighted Hardy space H2 (β) is contained in the set {0, θ (a), θ (a) φ (a), θ (a)(φ (a)) 2,.....} …

Normal and Quasinormal Operators on Weighted Hardy Spaces Page 168 Analysis and Its
Applications Editors: R. Ahmad, QH Ansari and M. Imdad Copyright© 2012, Narosa Publishing …