Non-quasi-well behaved closed $\ast$-derivations
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- by Frederick M. Goodman PDF
- Trans. Amer. Math. Soc. 264 (1981), 571-578 Request permission
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
- C. J. K. Batty, Dissipative mappings and well-behaved derivations, J. London Math. Soc. (2) 18 (1978), no. 3, 527–533. MR 518238, DOI 10.1112/jlms/s2-18.3.527
- C. J. K. Batty, Unbounded derivations of commutative $C^{\ast }$-algebras, Comm. Math. Phys. 61 (1978), no. 3, 261–266. MR 506358 —, Derivations on compact spaces (preprint). F. Goodman, Closed derivations in commutative ${C^ \ast }$ algebras, Dissertation, Univ. of California, Berkeley, Calif., 1979. —, Closed derivations in commutative ${C^ \ast }$ algebras (preprint).
- Shôichirô Sakai, Recent developments in the theory of unbounded derivations in $C^{\ast }$-algebras, $\textrm {C}^{\ast }$-algebras and applications to physics (Proc. Second Japan-USA Sem., Los Angeles, Calif., 1977) Lecture Notes in Math., vol. 650, Springer, Berlin, 1978, pp. 85–122. MR 504754 —, The theory of unbounded derivations in ${C^ \ast }$ algebras, Lecture Notes, Copenhagen University and The University of Newcastle upon Tyne, 1977.
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 264 (1981), 571-578
- MSC: Primary 46J10; Secondary 47B47
- DOI: https://doi.org/10.1090/S0002-9947-1981-0603782-1
- MathSciNet review: 603782