De la Rosa Penilla, Manuel; Frerick, Leonhard; Grivaux, Sophie; Peris Manguillot, Alfredo(Springer Verlag (Germany), 2012-08)
We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently hypercyclic. This result is extended to ...
[EN] Let H-infinity be the set of all ordinary Dirichlet series D = Sigma(n) a(n)(n-1) ann-s representing bounded holomorphic functions on the right half plane. A completely multiplicative sequence (b(n)) of complex numbers ...
Frerick, Leonhard; Jorda Mora, Enrique; Kalmes, Thomas; Wengenroth, Jochen(Elsevier, 2014-04-01)
We prove that for a strongly continuous semigroup T on the Frechet space omega of all scalar sequences, its generator is a continuous linear operator A is an element of L(omega) and that, for all x is an element of omega ...
Frerick, Leonhard; Jorda Mora, Enrique; Wengenroth, Jochen(Elsevier, 2011-08-01)
For a compact set K subset of R(d) we present a rather easy construction of a linear extension operator E : epsilon (K) -> C(infinity) for the space of Whitney jets epsilon (K) which satisfies linear tame continuity estimates ...
Bonet Solves, José Antonio; Frerick, Leonhard; Jorda Mora, Enrique(Elsevier, 2012-03)
We give a characterization, in one variable case, of those C-infinity multipliers F such that the division problem is solvable in S'(R). For these functions F is an element of O-M (R) we even prove that the multiplication ...
Frerick, Leonhard; Jorda Mora, Enrique; Wengenroth, Jochen(European Mathematical Society, 2016)
[EN] For a compact set K subset of R-d we characterize the existence of a linear extension operator E: E (K) -> C-infinity(R-d) for the space of Whitney jets E (K) without loss of derivatives, that is, it satisfies the ...