• 제목/요약/키워드: homomorphisms

검색결과 122건 처리시간 0.024초

REGULAR HOMOMORPHISMS IN TRANSFORMATION GROUPS

  • Yu, Jung Ok
    • 충청수학회지
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    • 제14권1호
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    • pp.49-59
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    • 2001
  • In this paper, we introduce an extended notion of regular homomorphism of minimal sets by considering a certain subgroup of the group of automorphisms of a universal minimal transfomation group.

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STABILITY OF THE CAUCHY FUNCTIONAL EQUATION IN BANACH ALGEBRAS

  • Lee, Jung Rye;Park, Choonkil
    • Korean Journal of Mathematics
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    • 제17권1호
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    • pp.91-102
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    • 2009
  • Using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the 3-variable Cauchy functional equation.

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ON SOME PROPERTIES OF BOUNDED HOMOMORPHISMS AND DERIVATIONS OF A C*-ALGEBRA

  • Nagisa, Masaru;Nam, Young-Man
    • East Asian mathematical journal
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    • 제4권
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    • pp.1-13
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    • 1988
  • We consider some properties of the completely bounded representations of C*-algebras. We discuss the relation between the k-similarity and the property $D_k$ and get the result every k-similar C*-algebra has property $D_k$. Moreover we determine the similarity problem for the algebra C$\bigoplus$C precisely and constructively.

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