A Construction of Herglotz Spaces

한국수학교육학회지시리즈B:순수및응용수학 / 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 (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. 한국수학교육학회지시리즈B:순수및응용수학, 11(3), 207-215.

복사

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

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논문 상세

Vol.11 No.3

A CONSTRUCTION OF HERGLOTZ SPACES

A Construction of Herglotz Spaces

Abstract

한국수학교육학회지시리즈B:순수및응용수학