Schur Products and Module Maps on $B(\mathscr H)$

Takashi Itoh; Masaru Nagisa

doi:10.2977/prims/1195143103

JournalsprimsVol. 36, No. 2pp. 253–268

Schur Products and Module Maps on $B (H)$

Takashi Itoh
Gunma University, Japan
Masaru Nagisa
Chiba University, Japan

$Schur Products and Module Maps on $B(\mathscr H)$ cover$

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Abstract

We describe the isometry which induces a Schur product on $B (H)$ and characterize Schur product maps as completely bounded module maps from $K (H)$ to $B (H)$ .

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Takashi Itoh, Masaru Nagisa, Schur Products and Module Maps on $B (H)$ . Publ. Res. Inst. Math. Sci. 36 (2000), no. 2, pp. 253–268

DOI 10.2977/PRIMS/1195143103