Finite-dimensional ideals in Banach algebras
Yood, Bertram
Colloquium Mathematicae, Tome 63 (1992), p. 295-301 / Harvested from The Polish Digital Mathematics Library
Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:210154
@article{bwmeta1.element.bwnjournal-article-cmv63i2p295bwm,
     author = {Bertram Yood},
     title = {Finite-dimensional ideals in Banach algebras},
     journal = {Colloquium Mathematicae},
     volume = {63},
     year = {1992},
     pages = {295-301},
     zbl = {0781.46034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv63i2p295bwm}
}
Yood, Bertram. Finite-dimensional ideals in Banach algebras. Colloquium Mathematicae, Tome 63 (1992) pp. 295-301. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv63i2p295bwm/

[000] [1] B. Barnes, Modular annihilator algebras, Canad. J. Math. 18 (1966), 566-578. | Zbl 0156.04003

[001] [2] B. Barnes, Some theorems concerning the continuity of algebra homomorphisms, Proc. Amer. Math. Soc. 18 (1967), 1035-1037. | Zbl 0172.41101

[002] [3] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, New York 1973. | Zbl 0271.46039

[003] [4] L. Dalla, S. Giotopoulos and N. Katseli, The socle and finite-dimensionality of a semiprime Banach algebra, Studia Math. 92 (1989), 201-204. | Zbl 0691.46036

[004] [5] I. N. Herstein, Noncommutative Rings, Carus Math. Monographs 15, Math. Assoc. America, 1968.

[005] [6] I. Kaplansky, Dual rings, Ann. of Math. 49 (1948), 689-701. | Zbl 0031.34401

[006] [7] J. Puhl, The trace of finite and nuclear elements in Banach algebras, Czechoslovak Math. J. 28 (1978), 656-676. | Zbl 0394.46041

[007] [8] C. E. Rickart, General Theory of Banach Algebras, Van Nostrand, Princeton 1960.

[008] [9] M. R. F. Smyth, On problems of Olubummo and Alexander, Proc. Royal Irish Acad. 80A (1980), 69-74. | Zbl 0411.46032

[009] [10] A. W. Tullo, Conditions on Banach algebras which imply finite-dimensionality, Proc. Edinburgh Math. Soc. 20 (1976), 69-74. | Zbl 0328.46051

[010] [11] K. Vala, Sur les éléments compacts d'une algèbre normée, Ann. Acad. Sci. Fenn. Ser. A I Math. 407 (1967), 1-7. | Zbl 0154.15101

[011] [12] B. Yood, Ideals in topological rings, Canad. Math. J. 16 (1964), 28-45. | Zbl 0203.04805

[012] [13] B. Yood, Closed prime ideals in topological rings, Proc. London Math. Soc. (3) 24 (1972), 307-323. | Zbl 0232.46041

[013] [14] B. Yood, On the strong radical of certain Banach algebras, Proc. Edinburgh Math. Soc. 21 (1978), 81-85. | Zbl 0379.46043