On the existence of minimal ideals in a Banach algebra
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- by Bruce A. Barnes PDF
- Trans. Amer. Math. Soc. 133 (1968), 511-517 Request permission
References
- Bruce A. Barnes, Modular annihilator algebras, Canadian J. Math. 18 (1966), 566–578. MR 194471, DOI 10.4153/CJM-1966-055-6
- Bruce Alan Barnes, Algebras with the spectral expansion property, Illinois J. Math. 11 (1967), 284–290. MR 209851
- Bruce Alan Barnes, A generalized Fredholm theory for certain maps in the regular representations of an algebra, Canadian J. Math. 20 (1968), 495–504. MR 232208, DOI 10.4153/CJM-1968-048-2
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373
- M. A. Naĭmark, On a problem of the theory of rings with involution, Uspehi Matem. Nauk (N.S.) 6 (1951), no. 6(46), 160–164 (Russian). MR 0046574 C. E. Rickart, Banach algebras, Princeton Univ. Press, Princeton, N. J., 1960.
- Alex Rosenberg, The number of irreducible representations of simple rings with no minimal ideals, Amer. J. Math. 75 (1953), 523–530. MR 57477, DOI 10.2307/2372501
- Bertram Yood, Ideals in topological rings, Canadian J. Math. 16 (1964), 28–45. MR 158279, DOI 10.4153/CJM-1964-004-2
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 133 (1968), 511-517
- MSC: Primary 46.65
- DOI: https://doi.org/10.1090/S0002-9947-1968-0226418-4
- MathSciNet review: 0226418