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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.3 No.2

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1996, v.3 no.2, pp.155-162
Cha, Jae-Sun
Jung, Kap-Hun
Cha,, J. , & Jung,, K. (1996). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 3(2), 155-162.

Abstract

We will show that let X and Y be M -finite Banach spaces with canonical M-decompositions <TEX>$X{\cong}{{\prod}^{{\gamma}_{\infty}}_{i=1}}{X^{n_i}}_{i}\;and\;Y{\cong}{{\prod}^{{\bar{\gamma}}_{\infty}}_{j=1}}{\tilde{Y}^{m_j}}_{j}$</TEX>, respectively and M and N nonzero locally compact Hausdorff spaces. Then I : <TEX>$C_{0}$</TEX>(M,X) <TEX>${\longrightarrow}\;C_{0}$</TEX>(N,Y) is an isometrical isomorphism if and only if r = <TEX>$\bar{r}$</TEX> and there are permutation and homeomorphisms and continuous maps such that I = <TEX>${I^{-1}}_{N.Y}\;{\circ}I_{w}^{-1}{\circ}({{\prod}^{\gamma}}_{i=1}I_{t_i,u_i}){\circ}I_{M,X}$</TEX>.

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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