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Ideals

$ S_p$ the Schatten-$ p$-classes
$ K(\cdot,\cdot)$ the ideal of compact operators
$ \mathbf{K}(\cdot,\cdot)$ the closed linear span of the elementary operators; ideal in $ B^\mathrm{ad}(\cdot,\cdot)$
$ N(\cdot,\cdot)$ the ideal of nuclear operators
$ \mathit{HS}(\cdot,\cdot)$ the ideal of Hilbert-Schmidt operators ($ S_2$)
$ \Pi_2(\cdot,\cdot)$ the ideal of absolutely 2-summing operators
$ \pi_2(\cdot)$ the absolutely 2-summing norm



Prof. Gerd Wittstock 2001-01-07