Derivations, homomorphisms, and operator ideals
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- by T. B. Hoover PDF
- Proc. Amer. Math. Soc. 62 (1977), 293-298 Request permission
Abstract:
Let $\mathfrak {A}$ be a ${C^\ast }$-algebra of operators on a Hilbert space, and let ${C_p}$ be the Schatten p-ideal. It is shown that every derivation from $\mathfrak {A}$ to ${C_p}$ is inner. A similar argument shows that two ${C^\ast }$-homomorphisms which agree modulo ${C_p}$ are equivalent.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 293-298
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0435860-9
- MathSciNet review: 0435860