On $p$-$C^ *$ summing operators
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- by Krzysztof Nowak
- Proc. Amer. Math. Soc. 111 (1991), 657-662
- DOI: https://doi.org/10.1090/S0002-9939-1991-1034881-2
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Abstract:
We prove that every bounded linear operator $T:A \to {C_p}(H)$ such that $i \circ T:A \to B(H)$ is positive (where $A$ is a unital ${C^*}$-algebra, ${C_p}(H)$ a Schatten class, $i$ the identity map from ${C_p}(H)$ into $B(H)$ is $p - {C^*}$ summing. This permits us to characterize $p - {C^*}$ summing operators in some classes of multipliers.References
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Bibliographic Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 657-662
- MSC: Primary 47B10; Secondary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1991-1034881-2
- MathSciNet review: 1034881