바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

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

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)

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

한국수학교육학회지시리즈B:순수및응용수학