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

Schur Products and Module Maps on <em>B</em>(<em>ℋ</em>)

  • Takashi Itoh

    Gunma University, Japan

  • Masaru Nagisa

    Chiba University, Japan
Schur Products and Module Maps on <em>B</em>(<em>ℋ</em>) 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).

Cite this article

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

DOI 10.2977/PRIMS/1195143103