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Mappings

$ \mathrm{1\!\!\!\:l}_{B(\H)}$ the identity of $ B(\H)$
$ \mathrm{1\!\!\!\:l}_n$ the identity of $ M_n$
$ \pi$ representations
$ \Phi^{(n)}$ $ n$th amplification of a linear mapping $ \Phi$
$ \Phi^{(n,l)}$ ($ n,l$)th amplification of a bilinear mapping $ \Phi$
$ \Phi^{(n)}$ $ \Phi^{(n,n)}$, $ n$th amplification of a bilinear mapping $ \Phi$
$ \Phi^{(n)}$ $ n$th amplification of a multilinear mapping $ \Phi$
$ \Phi^{(p \times q)}$ joint amplification of a bilinear mapping $ \Phi$
$ \tilde{\Phi}$ linearization of a bilinear mapping $ \Phi$
$ \Phi^\sigma$ the normal (=$ w^*$-$ w^*$-continuous) part of a mapping $ \Phi$ between dual spaces
$ \Phi^s$ the singular part of a mapping $ \Phi$ between dual spaces
$ \Theta$ faithful non-degenerate $ *$-representation of a $ C^*$-algebra



Prof. Gerd Wittstock 2001-01-07