RT Journal Article T1 Some summability properties of operators on a separable Banach space A1 Martín Peinador, Elena AB 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. PB Birkhäuser Verlag SN 0003-889X YR 1990 FD 1990-12-03 LK https://hdl.handle.net/20.500.14352/58565 UL https://hdl.handle.net/20.500.14352/58565 LA eng DS Docta Complutense RD 18 mar 2026