%0 Journal Article
%A Martín Peinador, Elena
%T Some summability properties of operators on a separable Banach space
%D 1990
%@ 0003-889X
%U https://hdl.handle.net/20.500.14352/58565
%X It is a well known fact that operators on a separable Hilbert space H giving norm-summability on an orthonormal basis have to be nuclear (Holub 1972) and operators giving summability on an orthonormal basis must be Hilbert-Schmidt. In former papers the author characterizes all the sequences of H that in this respect behave as orthonormal basis, and in the present paper those results are in some way, generalized to a separable Banach space.
%~