Injective envelopes of C*-algebras

Masamichi HAMANA

doi:10.2969/jmsj/03110181

Injective envelopes of C^*-algebras

Masamichi HAMANA

Author information

JOURNAL FREE ACCESS

1979 Volume 31 Issue 1 Pages 181-197

DOI https://doi.org/10.2969/jmsj/03110181

Details

Published: 1979 Received: July 26, 1977 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Mathematical Institute Tohoku University
2) Department of Mathematics Faculty of Education Toyama University

Right :
1) Mathematical Institute TÔhoku University
2) Department of Mathematics Faculty of Education Toyama University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) W. Arveson, Subalgebras of C^*-algebras, Acta Math., 123 (1969), 141-224.
2) I. D. Birrell, Maximal simple C^*-algebras I, Bull. London Math. Soc., 6 (1974), 141-144.
3) M.-D. Choi, A Schwarz inequality for positive linear maps on C^*-algebras, Illinois J. Math., 18 (1974), 565-574.
4) M.-D. Choi and E. G. Effros, Injectivity and operator spaces, J. Functional Analysis, 24 (1977), 156-209.
5) H. B. Cohen, Injective envelopes of Banach spaces, Bull. Amer. Math. Soc., 70 (1964), 723-726.
6) H. Gonshor, Injective hulls of C^*-algebras, Trans. Amer. Math. Soc., 131 (1968), 315-322.
7) H. Gonshor, Injective hulls of C^*-algebras II, Proc. Amer. Math. Soc., 24 (1970), 486-491.
8) J. Hakeda and J. Tomiyama, On some extension property of von Neumann algebras, Tohoku Math. J., 19 (1967), 315-323.
9) M. Hamana, Injective envelopes of Banach modules, to appear in Tohoku Math. J.
10) J. R. Isbell, Three remarks on injective envelopes of Banach spaces, J. Math. Anal. Appl., 27 (1969), 516-518.
11) R. Kaufman, A type of extension of Banach spaces, Acta Sci. Math. (Szeged), 27 (1966), 163-166.
12) R. I. Loebl, Injective von Neumann algebras, Proc. Amer. Math. Soc., 44 (1974), 46-48.
13) J. Schwartz, Two finite, non-hyperfinite, non-isomorphic factors, Comm. Pure Appl. Math., 16 (1963), 19-26.
14) J. Tomiyama, On the projection of norm one in W^*-algebras, Proc. Japan Acad., 32 (1957), 608-612.
15) J. Tomiyama, On the product projection of norm one in the direct product of operator algebras, Tohoku Math. J., 11 (1959), 303-313.
16) J. Tomiyama, Tensor products and projections of norm one in von Neumann algebras, Lecture notes for seminar given at University of Copenhagen, 1970.
17) D. Voiculescu, A non-commutative Weyl-von Neumann theorem, Rev. Roumaine Math. Pures Appl., 21 (1976), 97-113.
18) M. Nakamura, M. Takesaki and H. Umegaki, A remark on the expectation of operator algebras, Kodai Math. Sem. Rep., 12 (1960), 82-90.

Right : [1] W. Arveson, Subalgebras of C-algebras, Acta Math., 123 (1969), 141-224.
[2] I. D. Birrell, Maximal simple C-algebras I, Bull. London Math. Soc., 6 (1974), 141-144.
[3] M. -D. Choi, A Schwarz inequality for positive linear maps on C-algebras, Illinois J. Math., 18 (1974), 565-574.
[4] M. -D. Choi and E. G. Effros, Injectivity and operator spaces, J. Functional Analysis, 24 (1977), 156-209.
[5] H. B. Cohen, Injective envelopes of Banach spaces, Bull. Amer. Math. Soc., 70 (1964), 723-726.
[6] H. Gonshor, Injective hulls of C-algebras, Trans. Amer. Math. Soc., 131 (1968), 315-322.
[7] H. Gonshor, Injective hulls of C-algebras II, Proc. Amer. Math. Soc., 24 (1970), 486-491.
[8] J. Hakeda and J. Tomiyama, On some extension property of von Neumann algebras, Tôhoku Math. J., 19 (1967), 315-323.
[9] M. Hamana, Injective envelopes of Banach modules, to appear in Tôhoku Math. J.
[10] J. R. Isbell, Three remarks on injective envelopes of Banach spaces, J. Math. Anal. Appl., 27 (1969), 516-518.
[11] R. Kaufman, A type of extension of Banach spaces, Acta Sci. Math. (Szeged), 27 (1966), 163-166.
[12] R. I. Loebl, Injective von Neumann algebras, Proc. Amer. Math. Soc., 44 (1974), 46-48.
[13] J. Schwartz, Two finite, non-hyperfinite, non-isomorphic factors, Comm. Pure Appl. Math., 16 (1963), 19-26.
[14] J. Tomiyama, On the projection of norm one in W-algebras, Proc. Japan Acad., 32 (1957), 608-612.
[15] J. Tomiyama, On the product projection of norm one in the direct product of operator algebras, Tôhoku Math. J., 11 (1959), 303-313.
[16] J. Tomiyama, Tensor products and projections of norm one in von Neumann algebras, Lecture notes for seminar given at University of Copenhagen, 1970.
[17] D. Voiculescu, A non-commutative Weyl-von Neumann theorem, Rev. Roumaine Math. Pures Appl., 21 (1976), 97-113.
[18] M. Nakamura, M. Takesaki and H. Umegaki, A remark on the expectation of operator algebras, Kodai Math. Sem. Rep., 12 (1960), 82-90.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!