Finite-dimensional ideals in Banach algebras

Bertram Yood

Colloquium Mathematicae (1992)

  • Volume: 63, Issue: 2, page 295-301
  • ISSN: 0010-1354

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Yood, Bertram. "Finite-dimensional ideals in Banach algebras." Colloquium Mathematicae 63.2 (1992): 295-301. <http://eudml.org/doc/210154>.

@article{Yood1992,
author = {Yood, Bertram},
journal = {Colloquium Mathematicae},
keywords = {two-sided ideal},
language = {eng},
number = {2},
pages = {295-301},
title = {Finite-dimensional ideals in Banach algebras},
url = {http://eudml.org/doc/210154},
volume = {63},
year = {1992},
}

TY - JOUR
AU - Yood, Bertram
TI - Finite-dimensional ideals in Banach algebras
JO - Colloquium Mathematicae
PY - 1992
VL - 63
IS - 2
SP - 295
EP - 301
LA - eng
KW - two-sided ideal
UR - http://eudml.org/doc/210154
ER -

References

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  1. [1] B. Barnes, Modular annihilator algebras, Canad. J. Math. 18 (1966), 566-578. Zbl0156.04003
  2. [2] B. Barnes, Some theorems concerning the continuity of algebra homomorphisms, Proc. Amer. Math. Soc. 18 (1967), 1035-1037. Zbl0172.41101
  3. [3] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, New York 1973. Zbl0271.46039
  4. [4] L. Dalla, S. Giotopoulos and N. Katseli, The socle and finite-dimensionality of a semiprime Banach algebra, Studia Math. 92 (1989), 201-204. Zbl0691.46036
  5. [5] I. N. Herstein, Noncommutative Rings, Carus Math. Monographs 15, Math. Assoc. America, 1968. 
  6. [6] I. Kaplansky, Dual rings, Ann. of Math. 49 (1948), 689-701. Zbl0031.34401
  7. [7] J. Puhl, The trace of finite and nuclear elements in Banach algebras, Czechoslovak Math. J. 28 (1978), 656-676. Zbl0394.46041
  8. [8] C. E. Rickart, General Theory of Banach Algebras, Van Nostrand, Princeton 1960. 
  9. [9] M. R. F. Smyth, On problems of Olubummo and Alexander, Proc. Royal Irish Acad. 80A (1980), 69-74. Zbl0411.46032
  10. [10] A. W. Tullo, Conditions on Banach algebras which imply finite-dimensionality, Proc. Edinburgh Math. Soc. 20 (1976), 69-74. Zbl0328.46051
  11. [11] K. Vala, Sur les éléments compacts d'une algèbre normée, Ann. Acad. Sci. Fenn. Ser. A I Math. 407 (1967), 1-7. Zbl0154.15101
  12. [12] B. Yood, Ideals in topological rings, Canad. Math. J. 16 (1964), 28-45. Zbl0203.04805
  13. [13] B. Yood, Closed prime ideals in topological rings, Proc. London Math. Soc. (3) 24 (1972), 307-323. Zbl0232.46041
  14. [14] B. Yood, On the strong radical of certain Banach algebras, Proc. Edinburgh Math. Soc. 21 (1978), 81-85. Zbl0379.46043

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