TY - JOUR AU - Martín Peinador, Elena PY - 1990 DO - 10.1007/BF01191694 SN - 0003-889X UR - https://hdl.handle.net/20.500.14352/58565 T2 - Archiv der Mathematik 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... LA - eng M2 - 584 PB - Birkhäuser Verlag KW - Compact operator KW - nuclear operator KW - absolutely summable sequence KW - norm-summability on an orthonormal basis KW - Hilbert-Schmidt TI - Some summability properties of operators on a separable Banach space TY - journal article VL - 55 ER -