On the spectrum and Hilbert Schimidt properties of generalized Rhaly matrices

Authors : Mohammad MURSALEEN, Mustafa YİLDİRİM, Nuh DURNA

Pages : 712-723

Doi:10.31801/cfsuasmas.464177

View : 14 | Download : 11

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In this paper, we show that the multiplications of some generalized Rhaly operators are Hilbert Schimidt operators.We also calculate the spectrum and essential spectrum of a special generalized Rhaly matrices on the Hardy space H².
Keywords : Cesàro operators, terraced operators, Rhaly operators, generalized Cesàro operators, generalized terraced operators, spectrum, essential spectrum, Hilbert Schimidt