Decompositions of Linear Maps Into Non-Separable -Algebras
Tadasi Huruya
Niigata University, Japan
![Decompositions of Linear Maps Into Non-Separable $C^*$-Algebras cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-21-issue-3.png&w=3840&q=90)
Abstract
We study positive decompositions of bounded linear maps between -algebras. A characterization of commutative injective -algebras is given in terms of positive decompositions with certain norm condition of linear maps. We also provide under the Continuum Hypothesis a completely bounded map into the Calkin algebra which admits no positive decomposition.
Cite this article
Tadasi Huruya, Decompositions of Linear Maps Into Non-Separable -Algebras. Publ. Res. Inst. Math. Sci. 21 (1985), no. 3, pp. 645–655
DOI 10.2977/PRIMS/1195179059