The spectrum of q-Cesaro matrices on c and its various spectral decomposition for 0<q<1
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01.09.2021Üst veri
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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 convergent sequences c . We will also obtain the fine
spectral decomposition in the sense of Goldberg and a non-discrete spectral decomposition of
the obtained spectrum.