Multipliers for operator-valued Bessel sequences, generalized Hilbert-Schmidt and trace classes

K. Mahesh Krishna, P. Sam Johnson, R. N. Mohapatra

Let $\{{\lambda }_n{\}}_n\in {\ell }^{\infty }(\mathbb{N})$. In 1960, R. Schatten \cite{SCHATTEN} studied operators of the form ${\sum }_{n=1}^{\infty }{\lambda }_n(x_n\otimes \overline{y_n})$, where $\{x_n{\}}_n$,…