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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.11 No.3

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A CONSTRUCTION OF HERGLOTZ SPACES

A Construction of Herglotz Spaces

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2004, v.11 no.3, pp.207-215
Lee, Byung-Kwon (Department of Mathematic, University of Inchon)
Yang, Mee-Hyea (Department of Mathematic, University of Inchon)
Lee, Byung-Kwon, & Yang, Mee-Hyea. (2004). A CONSTRUCTION OF HERGLOTZ SPACES, 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 $\varepsilon$(W) of D(W) in C(z) is a Herglotz space with Herglotz function $\varphi$(z) which satisfies $\varphi$(z) + ${\varphi}^*(z^{-1})$ = 2[1-W$^*(z^{-1})W(z)]$.

keywords
linear system, herglotz space

한국수학교육학회지시리즈B:순수및응용수학

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