Sur L'existence D'un Homomorphisme Discontinu De C (K )

DOI10.1112/plms/s3-36.1.46zbMath0411.46038OpenAlexW2065757348MaRDI QIDQ4199264

Jean Esterle

Publication date: 1978

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-36.1.46

zbMATH Keywords

continuum hypothesisformal power seriesnormed algebraMittag-Leffler theoreminjective algebra homomorphismcommutative radical Banach algebradiscontinuous homomorphismgroup of exponentspolynomials with coefficients in a Banach algebrasemigroup of strictly positive elements

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Ideals, maximal ideals, boundaries (46J20) Continuum hypothesis and Martin's axiom (03E50) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (10)

Prime Ideals in Algebras of Continuous Functions ⋮ Universal multiplicative properties of certain quotients of Fréchet algebras ⋮ The structure of discontinuous homomorphisms from non-commutative C*-algebras ⋮ Theorems of Gelfand-Mazur type and continuity of epimorphisms from \(\mathcal C (K)\) ⋮ Continuity of homomorphisms and derivations from algebras of approximable and nuclear operators ⋮ Gap‐2 morass‐definable η₁‐orderings ⋮ Discontinuous homomorphisms from 𝐶(𝑋) ⋮ The kernels of radical homomorphisms and intersections of prime ideals ⋮ THE KERNELS AND CONTINUITY IDEALS OF HOMOMORPHISMS FROM 𝒞₀(Ω) ⋮ Picard's theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras

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