| The relationship between $n$-positivity, linearity and continuity of positive mappins between $C^*$-algebras |
| کد مقاله : 1056-SLAA10 |
| نویسندگان |
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علی دادخواه *1، محمد صال مصلحیان2 1گروه ریاضی محض 2دانشگاه فردوسی |
| چکیده مقاله |
| We investigate some classes of positive mappings (not necessarily linear) in the setting of $C^*$-algebras. First, we give some results about the superadditivity and the starshapness of such maps. Then, for a certain class of unital positive maps $\Phi: \mathscr{A}\longrightarrow\mathscr{B}$ between unital $C^*$-algebras, we present the relation between the $n$-positivity, the linearity and the continuity of $\Phi$. |
| کلیدواژه ها |
| $C^*$-algebra; $n$-positive map; superadditive; nonlinear positive map |
| وضعیت: پذیرفته شده برای ارائه شفاهی |