Conejero, J. Alberto; Mundayadan, A.; Seoane-Sepúlveda, J. B.(Belgian Mathematical Society, 2019-03)
[EN] We study the dynamics of the multi-dimensional Cesar degrees integral operator on L-P (I-n), for I the unit interval, 1 < p < infinity, and n >= 2, that is defined as
C(f)(x(1),...,x(n)) = 1/x(1)x(2)...x(n) ...
[EN] In this short note, it is proved the existence of infinite matrices that not only preserve convergence and limits of sequences but also convert every member of some dense vector space consisting, except for zero, of ...
[EN] In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator ...