THE SPECTRUM OF q–CESARO MATRICES ON ` c AND ITS VARIOUS SPECTRAL DECOMPOSITION FOR 0 < q < 1
Künye
Durna, N., Türkay, M. E. Mathematics subject classification (2020) Sivas Cumhuriyet University, 58140 Sivas, TurkeyÖzet
One of q-analogs of the Ces´aro matrix of order one is the triangular matrix with
nonzero entries cnk = qn−k/1+q+···+qn, 0 k n, where q ∈ [0,1] . In this article, we will determine
the spectrum of this matrix on the space of convergentsequences c . We will also obtain the fine
spectral decomposition in the sense of Goldberg and a non-discrete spectraldecomposition of
the obtained spectrum.