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On some classes of ideals in commutative Banach algebras. (English) Zbl 0445.46038

##### MSC:
 46J20 Ideals, maximal ideals, boundaries 46J10 Banach algebras of continuous functions, function algebras
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##### References:
 [1] Arens R.,Extension of Banach algebras. Pacific J. Math. 10 (1960), 1–16. · Zbl 0095.09801 · doi:10.2140/pjm.1960.10.1 [2] Arens R.,Ideals in Banach algebra extensions. Studia Math. 31 (1968), 29–32. · Zbl 0167.14102 [3] Bollobas B.,Adjoining inverses to commutative Banach algebras. Trans. Amer. Math. Soc. 181 (1973), 165–174. · Zbl 0274.46039 · doi:10.1090/S0002-9947-1973-0324418-9 [4] Lindberg J. A.,Extension of algebra norms and applications. Studia Math. 40 (1971), 35–39. · Zbl 0218.46047 [5] Slodkowski Z.,On ideals consisting of joint topological divisors of zero. Studia Math. 48 (1973), 83–88. · Zbl 0271.46046 [6] Zelazko W.,A characterization of Shilov boundary in function algebras. Prace Mat. 14 (1970), 59–64. [7] Zelazko W.,On a certain class of non-removable ideals in Banach algebras. Studia Math. 44 (1972), 87–92. [8] Zelazko W.,A characterization of Shilov boundary and non-removable ideals in function algebras. Algebres de Fonctions (Proc. Conf. Grenoble 1970), 70–73. [9] Zelazko W.,Concerning a problem of Arens on removable ideals in Banach algebras. Coll. Math. 30 (1974), 127–131. · Zbl 0286.46051
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