@article{bwmeta1.element.bwnjournal-article-bcpv30z1p9bwm, author = {Aupetit, Bernard}, title = {Recent trends in the field of Jordan-Banach algebras}, journal = {Banach Center Publications}, volume = {29}, year = {1994}, pages = {9-19}, zbl = {0818.17035}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv30z1p9bwm} }
Aupetit, Bernard. Recent trends in the field of Jordan-Banach algebras. Banach Center Publications, Tome 29 (1994) pp. 9-19. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv30z1p9bwm/
[000] [1] A. A. Albert, On Jordan algebras of linear transformations, Trans. Amer. Math. Soc. 59 (1946), 524-555. | Zbl 0061.05101
[001] [2] A. A. Albert, A structure theory for Jordan algebras, Ann. of Math. 48 (1947), 446-467.
[002] [3] B. Aupetit, Propriétés spectrales des algèbres de Banach, Lecture Notes in Math. 735, Springer, Heidelberg, 1979. | Zbl 0409.46054
[003] [4] B. Aupetit, The uniqueness of the complete norm topology in Banach algebras and Banach-Jordan algebras, J. Funct. Anal. 47 (1982), 1-6. | Zbl 0488.46043
[004] [5] B. Aupetit, Inessential elements in Banach algebras, Bull. London Math. Soc. 18 (1986), 493-497. | Zbl 0574.47015
[005] [6] B. Aupetit, A Primer on Spectral Theory, Universitext, Springer, New York, 1991.
[006] [7] B. Aupetit, Spectral characterization of the radical in Banach and Jordan-Banach algebras, Math. Proc. Cambridge Philos. Soc. 114 (1993), 31-35. | Zbl 0811.46051
[007] [8] B. Aupetit, Spectral characterization of the socle in Jordan-Banach algebras, to appear.
[008] [9] B. Aupetit et L. Baribeau, Sur le socle dans les algèbres de Jordan-Banach, Canad. J. Math. 41 (1989), 1090-1100.
[009] [10] B. Aupetit and H. du T. Mouton, Spectrum-preserving linear mappings in Banach algebras, Studia Math. 109 (1994), 91-100. | Zbl 0829.46039
[010] [11] B. Aupetit and M. A. Youngson, On symmetry of Banach-Jordan algebras, Proc. Amer. Math. Soc. 91 (1984), 364-366. | Zbl 0526.46048
[011] [12] B. Aupetit et A. Zraïbi, Propriétés analytiques du spectre dans les algèbres de Jordan-Banach, Manuscripta Math. 38 (1982), 381-386. | Zbl 0499.46030
[012] [13] M. Benslimane, A. Fernández López et A. Kaïdi, Caractérisation des algèbres de Jordan-Banach de capacité finie, Bull. Sci. Math. (2) 112 (1988), 473-480. | Zbl 0679.46035
[013] [14] M. Benslimane, O. Jaa and A. Kaïdi, The socle and the largest spectrum finite ideal, Quart. J. Math. Oxford (2) 42 (1991), 1-7. | Zbl 0722.17001
[014] [15] M. Benslimane et A. Kaïdi, Structure des algèbres de Jordan-Banach non commutatives complexes régulières ou semi-simples à spectre fini, J. Algebra 113 (1988), 201-206. | Zbl 0692.46044
[015] [16] M. Benslimane et A. Rodríguez Palacios, Caractérisation spectrale des algèbres de Jordan-Banach non commutatives complexes modulaires annihilatrices, J. Algebra 140 (1991), 344-354. | Zbl 0742.17002
[016] [17] A. Fernández López, Modular annihilator Jordan algebras, Comm. Algebra 13 (1985), 2597-2613. | Zbl 0613.17015
[017] [18] A. Fernández López, Noncommutative Jordan Riesz algebras, Quart. J. Math. Oxford (2) 39 (1988), 67-80.
[018] [19] A. Fernández López and A. Rodríguez Palacios, On the socle of a noncommutative Jordan algebra, Manuscripta Math. 56 (1986), 269-278. | Zbl 0598.17001
[019] [20] A. Fernández López and A. Rodríguez Palacios, Primitive noncommutative Jordan algebras with nonzero socle, Proc. Amer. Math. Soc. 96 (1986), 199-206. | Zbl 0585.17001
[020] [21] H. Hanche-Olsen and E. Størmer, Jordan Operator Algebras, Pitman, New York, 1984.
[021] [22] N. Jacobson, Structure and Representations of Jordan Algebras, Amer. Math. Soc. Colloq. Publ. 39, Amer. Math. Soc., Providence, R.I., 1968.
[022] [23] N. Jacobson, Lectures on Quadratic Jordan Algebras, Tata Institute of Fundamental Research, Bombay, 1969.
[023] [24] P. Jordan, J. von Neumann and E. Wigner, On an algebraic generalization of the quantum mechanical formalism, Ann. of Math. 35 (1934), 29-64. | Zbl 60.0902.02
[024] [25] O. Loos, Properly algebraic and spectrum-finite ideals in Jordan systems, Math. Proc. Cambridge Philos. Soc. 114 (1993), 149-161. | Zbl 0786.17019
[025] [26] J. Martínez Moreno, Sobre álgebras de Jordan normadas completas, Tesis doctoral, Universidad de Granada, 1977.
[026] [27] K. McCrimmon, The radical of a Jordan algebra, Proc. Nat. Acad. Sci. U.S.A. 62 (1969), 671-678. | Zbl 0175.31002
[027] [28] K. McCrimmon, A characterization of the radical of a Jordan algebra, J. Algebra 18 (1971), 103-111. | Zbl 0243.17013
[028] [29] J. M. Osborn, Representations and radicals of Jordan algebras, Scripta Math. 29 (1973), 297-329. | Zbl 0264.17006
[029] [30] J. M. Osborn and M. L. Racine, Jordan rings with nonzero socle, Trans. Amer. Math. Soc. 251 (1979), 375-387. | Zbl 0409.17014
[030] [31] P. S. Putter and B. Yood, Banach-Jordan *-algebras, Proc. London Math. Soc. (3) 41 (1980), 21-44.
[031] [32] A. Rodríguez Palacios, Jordan structures in analysis, preprint.
[032] [33] W. Sierpiński, Cardinal and Ordinal Numbers, PWN, Warszawa, 1958.
[033] [34] K. A. Zhevlakov, M., Slin'ko, J. P. Shestakov, and A. I. Shirshov, Rings That Are Nearly Associative, Academic Press, New York, 1982.