Closed *-derivations on compact groups

Hiroshi NAKAZATO

doi:10.2969/jmsj/03410083

Closed ^*-derivations on compact groups

Hiroshi NAKAZATO

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JOURNAL FREE ACCESS

1982 Volume 34 Issue 1 Pages 83-93

DOI https://doi.org/10.2969/jmsj/03410083

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Published: 1982 Received: May 22, 1980 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) C. G. K. Batty, Unbounded derivations of commutative C^*-algebras, Comm. Math. Phys., 61 (1978), 261-266.
2) C. G. K. Batty, Derivations on compact spaces, preprint.
3) O. Bratteli and D.W. Robinson, Unbounded derivations of C^*-algebras, Comm. Math. Phys., 42 (1975), 253-268.
4) O. Bratteli and D.W. Robinson, Unbounded derivations of C^*-algebras II, Comm. Math. Phys., 46 (1976), 11-30.
5) F.M. Goodman, Closed derivations in commutative C^*-algebras, preprint.
6) E. Hille and R.S. Phillips, Functional analysis and semigroups, A. M. S. Colloq. Publ., 31 (1951).
7) E. Hewitt and K.A. Ross, Abstract harmonic analysis, Springer, 1970.
8) L.H. Loomis, An introduction to abstract harmonic analysis, van Nostrand, 1953.
9) R.T. Powers, A remark on the domain of an unbounded derivation of a C^*-algebra, J. Functional Analysis, 18 (1975), 85-95.
10) S. Sakai, On one-parameter subgroup of *-automorphisms on operator algebras and the corresponding unbounded derivations, Amer. J. Math., 98 (1976), 427-440.
11) S. Sakai, The theory of unbounded derivations of C^*-algebras, Lecture Notes, Copenhagen University and The University of Newcastle upon Tyne, 1977.
12) S. Sakai, Unbounded derivations in commutative C^*-algebras, Lecture Note in R. I. M. S., 320 (1978), 32-45.
13) S. Sakai, Recent developments in the theory of unbounded derivations in C^*-algebras, Springer Lecture Notes in Math., 650 (1978), 85-122.
14) M. Sugiura, Unitary representations and harmonic analysis, Kcdansha, 1975.
15) T. Tannaka, Über den Dualitatssatz der nichtkommutativen Gruppen, Tohoku Math. J., 45 (1938), 1-12.

Right : [1] C. G. K. Batty, Unbounded derivations of commutative C-algebras, Comm. Math. Phys., 61 (1978), 261-266.
[2] C. G. K. Batty, Derivations on compact spaces, preprint.
[3] O. Bratteli and D. W. Robinson, Unbounded derivations of C-algebras, Comm. Math. Phys., 42 (1975), 253-268.
[4] O. Bratteli and D. W. Robinson, Unbounded derivations of C-algebras II, Comm. Math. Phys., 46 (1976), 11-30.
[5] F. M. Goodman, Closed derivations in commutative C-algebras, preprint.
[6] E. Hille and R. S. Phillips, Functional analysis and semigroups, A. M. S. Colloq. Publ., 31 (1951).
[7] E. Hewitt and K. A. Ross, Abstract harmonic analysis, Springer, 1970.
[8] L. H. Loomis, An introduction to abstract harmonic analysis, van Nostrand, 1953.
[9] R. T. Powers, A remark on the domain of an unbounded derivation of a C-algebra, J. Functional Analysis, 18 (1975), 85-95.
[10] S. Sakai, On one-parameter subgroup of *-automorphisms on operator algebras and the corresponding unbounded derivations, Amer. J. Math., 98 (1976), 427-440.
[11] S. Sakai, The theory of unbounded derivations of C-algebras, Lecture Notes, Copenhagen University and The University of Newcastle upon Tyne, 1977.
[12] S. Sakai, Unbounded derivations in commutative C-algebras, Lecture Note in R. I. M. S., 320 (1978), 32-45.
[13] S. Sakai, Recent developments in the theory of unbounded derivations in C-algebras, Springer Lecture Notes in Math., 650 (1978), 85-122.
[14] M. Sugiura, Unitary representations and harmonic analysis, Kôdansha, 1975.
[15] T. Tannaka, Über den Dualitatssatz der nichtkommutativen Gruppen, Tôhoku Math. J., 45 (1938), 1-12.

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