Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지

RADICALS AND HOMOMORPHIC IMAGES OF ${C^*}$-ALGEBRAS

  • Han, Hyuk (Department of Mathematics Seonam University)
  • Published : 1999.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we prove that the range of homomorphism from a C\ulcorner-algebra A into a commutative Banach algebra B whose radical is nil contains no non-zero element of the radical of B. Using this result we show that there is no non-zero homomorphism from a C\ulcorner-algebra into a commutative radical nil Banach algebra.

Keywords

References

  1. American J. Math. v.82 Homomrphisms of commutative Banach algebras W. G. Bade;P. C. Curtis, Jr.
  2. Complete Normed Algebras F. F. Bonsall;J. Duncan
  3. Bull. Korean Math. Soc. v.22 On homomorphisms of $C^*-algebras$ T. G. Cho
  4. Bull. London Math. Soc. v.10 Automatic continuity: A survey H. G. Dales
  5. Lecture Notes in Mathematics v.975 Convolution algebras on the real line, Radical Banach Algebras and Automatic Continuity
  6. The Theory of Rings N. H. McCoy
  7. London Math. Soc. Lecture Notes Series 21 Automatic Continuity of Linear Operators A. M. Sinclair
  8. Theory of Operator Algebras M. Takesaki