[EN] The spectrum and point spectrum of the Cesaro averaging operator C acting on the Frechet space C-infinity(R+) of all C-infinity functions on the interval [0, infinity) are determined. We employ an approach via ...

[EN] The Banach sequence spaces ces(p) are generated in a specified way via the classical spaces p,1<p<. For each pair 1<p,q< the (p,q)-multiplier operators from ces(p) into ces(q) are known. We determine precisely which ...

[EN] The Fréchet sequence spaces ces(p+) are very different to the Fréchet sequence spaces ¿p+,1¿p<¿, that generate them, (Albanese et al. in J Math Anal Appl 458:1314¿1323, 2018). The aim of this paper is to investigate ...

[EN] The generalized Cesaro operators C-t, for t is an element of[0, 1], were first investigated in the 1980s. They act continuously in many classical Banach sequence spaces contained in C(N)0, such as l(p), c(0), c, bv(0), ...

[EN] The classical spaces l(p+), 1 <= p < infinity, and Lp-, 1 < p <= infinity, are countably normed, reflexive Frechet spaces in which the Cesaro operator C acts continuously. A detailed investigation is made of various ...

[EN] The spectrum of the CesA ro operator , which is always continuous (but never compact) when acting on the classical Korenblum space and other related weighted Fr,chet or (LB) spaces of analytic functions on the open ...

[EN] The Banach spaces ces(p), 1 < p < infinity, were intensively studied by G. Bennett and others. The largest solid Banach lattice in C-N which contains l(p) and which the Cesaro operator C : C-N -> C-N maps into l(P) ...