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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Non-quasi-well behaved closed $ \ast $-derivations


Author: Frederick M. Goodman
Journal: Trans. Amer. Math. Soc. 264 (1981), 571-578
MSC: Primary 46J10; Secondary 47B47
MathSciNet review: 603782
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Abstract | References | Similar Articles | Additional Information

Abstract: Examples are given of a non-quasi-well behaved closed * derivation in $ C([0,1] \times [0,1])$ extending the partial derivative, and of a compact subset $ \Omega $ of the plane such that $ C(\Omega )$ has no nonzero quasi-well behaved * derivations but $ C(\Omega )$ does admit nonzero closed * derivations.


References [Enhancements On Off] (What's this?)

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  • [B2] C. J. K. Batty, Unbounded derivations of commutative 𝐶*-algebras, Comm. Math. Phys. 61 (1978), no. 3, 261–266. MR 506358 (80d:46109)
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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1981-0603782-1
PII: S 0002-9947(1981)0603782-1
Keywords: $ {C^ \ast }$ algebras, closed * derivations, quasi-well behaved
Article copyright: © Copyright 1981 American Mathematical Society



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