• Title/Summary/Keyword: Note

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On the spectral propeties of multipliers

  • Yoo, Jong-Kwang
    • Communications of the Korean Mathematical Society
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    • v.12 no.4
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    • pp.911-920
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    • 1997
  • This note centers around the class M(A) of multipliers on a Gelfand algebra A. This class is a large subalgebra of the Banach algebra L(A). The aim of this note is to investigate some aspects concerning their local spectral properties of multipliers. In the last part of work we consider some applications to automatic continuity theory.

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NOTE ON THREE OF RAMANUJAN'S THEOREMS

  • Park, In-Hyok;Seo, Tae-Young
    • Communications of the Korean Mathematical Society
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    • v.15 no.1
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    • pp.71-75
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    • 2000
  • The object of this note is to introduce three Ramanuian's formulae of similar nature among his many curious ones and to prove them by making use of the theory of generalized hypergeometric series.

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A NOTE ON APPROXIMATION OF SOLUTIONS OF A K-POSITIVE DEFINITE OPERATOR EQUATIONS

  • Osilike, M.O.;Udomene, A.
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.231-236
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    • 2001
  • In this note we construct a sequence of Picard iterates suitable for the approximation of solutions of K-positive definite operator equations in arbitrary real Banach spaces. Explicit error estimate is obtained and convergence is shown to be as fast as a geometric progression.

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A Note on Fuzzy Linear Regression Analysis of Fuzzy Valued Variables

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.12 no.1
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    • pp.99-101
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    • 2001
  • In this note, we show that a linear regression model, using entropy and degree of nearness of fuzzy numbers, suggested by Wang and Li[FSS 36, 125-136] seems to be unreasonable by an example.

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A NOTE ON LIFTING TRANSFORMATION GROUPS

  • Cho, Sung Ki;Park, Choon Sung
    • Korean Journal of Mathematics
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    • v.5 no.2
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    • pp.169-176
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    • 1997
  • The purpose of this note is to compare two known results related to the lifting problem of an action of a topological group G on a G-space X to a coverring space of X.

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