[EN] We develop a novel decomposition of the monomials in order to study the set of monomial convergence for spaces of holomorphic functions over l(r) for 1 < r <= 2. For H-b. (l(r)), the space of entire functions of bounded ...
Bonet Solves, José Antonio; RICKER, WERNER(Springer-Verlag, 2020-03)
[EN] The discrete Cesaro (Banach) sequence spaces ces(r),1<r<infinity, have been thoroughly investigated for over 45 years. Not so for their dual spaces d(s) approximately equal to (ces(r))', which are somewhat unwieldy. ...
Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2020-07)
[EN] The discrete Cesàro operator C acts continuously in various classical Banach sequence spaces within CN. For the coordinatewise order, many such sequence spaces X are also complex Banach lattices [eg. c0,¿p for 1<p¿¿, ...