@article{ASCFM_1991__97_27_107_0,
author = {Iochum, Bruno and Loupias, Guy},
title = {Remarks on the bidual of {Banach} algebras (the $C^\ast $ case)},
journal = {Annales scientifiques de l'Universit\'e de Clermont. Math\'ematiques},
pages = {107--118},
publisher = {UER de Sciences exactes et naturelles de l'Universit\'e de Clermont},
volume = {97},
number = {27},
year = {1991},
mrnumber = {1164713},
zbl = {0781.46049},
language = {en},
url = {http://www.numdam.org/item/ASCFM_1991__97_27_107_0/}
}
TY - JOUR AU - Iochum, Bruno AU - Loupias, Guy TI - Remarks on the bidual of Banach algebras (the $C^\ast $ case) JO - Annales scientifiques de l'Université de Clermont. Mathématiques PY - 1991 SP - 107 EP - 118 VL - 97 IS - 27 PB - UER de Sciences exactes et naturelles de l'Université de Clermont UR - http://www.numdam.org/item/ASCFM_1991__97_27_107_0/ LA - en ID - ASCFM_1991__97_27_107_0 ER -
%0 Journal Article %A Iochum, Bruno %A Loupias, Guy %T Remarks on the bidual of Banach algebras (the $C^\ast $ case) %J Annales scientifiques de l'Université de Clermont. Mathématiques %D 1991 %P 107-118 %V 97 %N 27 %I UER de Sciences exactes et naturelles de l'Université de Clermont %U http://www.numdam.org/item/ASCFM_1991__97_27_107_0/ %G en %F ASCFM_1991__97_27_107_0
Iochum, Bruno; Loupias, Guy. Remarks on the bidual of Banach algebras (the $C^\ast $ case). Annales scientifiques de l'Université de Clermont. Mathématiques, Tome 97 (1991) no. 27, pp. 107-118. http://www.numdam.org/item/ASCFM_1991__97_27_107_0/
1 , The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2 (1951), 839-848. | MR | Zbl
2 , Operations induced in function classes, Monatshefte für Math. 55 (1951), 839-848. | MR | Zbl
3 and , Numerical ranges of operators on normed spaces and of elements of normed algebras, Cambridge University Press, (1971). | MR | Zbl
4 , Topologie générale, Herman (1971). | MR
5 and , The second conjugate space of a Banach algebra as an algebra, Pac. J. Math 11 (1961), 847-870. | MR | Zbl
6 , The second dual of a JB * - triple system, Complex analysis, functional analysis and approximation theory (Campinas, 1984) 67-69, North-Holland Math. Stud., 125, North-Holland, Amsterdam - New York, 1986. | MR | Zbl
7 and , The second dual of a Banach algebra Proc. Royal Soc. Edinburgh, A 84 (1979), 309-325. | MR | Zbl
8 , Parties admissibles d'un espace de Banach. Applications, Ann. Scient. Ecole Norm. Sup. 16 (1983), 109-122. | Numdam | MR | Zbl
9 and , Jordan operator algebras, Pitman (1984). | MR | Zbl
10 , Ultraproducts in Banach space theory, J. Reine. Ang. Math. 313 (1980), 72-104. | MR | Zbl
11 and , Applications of ultraproducts to the uniform and Lipschitz classification of Banach spaces, Studia Math. 73 (1982), 225-251. | MR | Zbl
12 and , Banach power-associative algebras and Jordan algebras, Ann. Institut H. Poincaré. 43 (1985), 211-225. | Numdam | MR | Zbl
13 , A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces. Math. Z. 183 (1983), 503-529. | MR | Zbl
14 , and , Non commutative Jordan C*algebras, Manuscripta Math. 37 (1982), 87-120. | MR | Zbl
15 , A Vidav-Palmer theorem for Jordan C*algebras and relatied topics, J. London Math. Soc. 22 (1980), 318-332. | MR | Zbl
16 , Non associative normed algebras spanned by hermitian elements, Proc. London Math. Soc. 47 (1983), 258-279. | Zbl
17 , C*algebras and W*algebras, Erg. der Math. 60, Springer-Verlag (1971). | MR | Zbl
18 , An introduction to non associative algebras, Academic Press, New York (1966). | Zbl
19 , Hermitian operators on Banach Jordan algebras, Proc. Edinburgh Math. Soc. 22 (1979), 169-180. | MR | Zbl
