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

ISSN : 1226-0657

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Vol.11 No.3

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A Construction of Herglotz Spaces

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
2004, v.11 no.3, pp.207-215
Lee, Byung-Kwon
Yang, Mee-Hyea
Lee,, B. , & Yang,, M. (2004). A Construction of Herglotz Spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 11(3), 207-215.

Abstract

Let W(z) be a power series with operator coefficients such that multiplication by W(z) is contractive in extC(z). The overlapping space <TEX>$\varepsilon$</TEX>(W) of D(W) in C(z) is a Herglotz space with Herglotz function <TEX>$\varphi$</TEX>(z) which satisfies <TEX>$\varphi$</TEX>(z) + <TEX>${\varphi}^*(z^{-1})$</TEX> = 2[1-W<TEX>$^*(z^{-1})W(z)]$</TEX>.

keywords
linear system, herglotz space

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

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