On ideals consisting of topological zero divisors

• Autorzy: Antoni Wawrzyńczyk
• Języki publikacji: EN

Abstrakty

EN

The class ω(A) of ideals consisting of topological zero divisors of a commutative Banach algebra A is studied. We prove that the maximal ideals of the class ω(A) are of codimension one.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 142
• Numer: 3
• Strony: 245-251

Daty

wydano

2000

otrzymano

1999-09-08

poprawiono

2000-05-16

Twórcy

autor

Antoni Wawrzyńczyk

• Departamento de Matemáticas, Universidad Autónoma Metropolitana - Iztapalapa, Av. Michoacán y la Purísima, col. Vicentina, AP 55-534, 09 340 México, D. F., México

Bibliografia

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• [5] W. Żelazko, On a certain class of non-removable ideals in Banach algebras, Studia Math. 44 (1972) 87-92.
• [6] W. Żelazko, Banach Algebras, PWN-Elsevier, 1973.
• [7] W. Żelazko, An axiomatic approach to joint spectra I, Studia Math. 64 (1979) 249-261.