TY - CHAP AU - Martín Peinador, Elena A4 - Császár, Ákos PY - 1980 SN - 0444854061 UR - https://hdl.handle.net/20.500.14352/65473 AB - From the text: "Let H be a real, separable Hilbert space, B the set of bounded linear operators on H, and S={an:n∈N} a fixed sequence in H; we set CS={A∈B:∑∞n=1||Aan||<∞}. Obviously CS≠{0}, and it is easy to check that CS is a left ideal. Theorem 1:... LA - eng M2 - 829 PB - North-Holland KW - Bounded operators KW - absolutely summable sequence KW - left ideal KW - bilateral ideal KW - ideal of completely continuous operators TI - On the set of bounded linear operators transforming a certain sequence of a Hilbert space into an absolutely summable one TY - book part VL - 2 ER -