바로가기메뉴

본문 바로가기 주메뉴 바로가기

ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

logo

ON SPECTRA OF 2-ISOMETRIC OPERATORS

ON SPECTRA OF 2-ISOMETRIC OPERATORS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2009, v.16 no.3, pp.277-281
Yang, Young-Oh (DEPARTMENT OF MATHEMATICS AND INFORMATION, CHEJU NATIONAL UNIVERSITY)
Kim, Cheoul-Jun (DEPARTMENT OF MATHEMATICS AND INFORMATION, CHEJU NATIONAL UNIVERSITY)
  • 다운로드 수
  • 조회수

Abstract

A Hilbert space operator T is a 2-isometry if <TEX>$T^{{\ast}2}T^2\;-\;2T^{\ast}T+I$</TEX> = O. We shall study some properties of 2-isometries, in particular spectra of a non-unitary 2-isometry and give an example. Also we prove with alternate argument that the Weyl's theorem holds for 2-isometries.

keywords
2-isometry, spectrum, Weyl spectrum, Weyl's theorem

참고문헌

1.

2.

3.

(2002). . Glasnik Mathematicki, 37(57), 143-147.

4.

(1974). . Illinois J. Math., 18, 208-212.

5.

(1995). . Integral Equations and Operator Theory, 21, 383-429.

6.

(1970). . Indiana Univ. Math. J., 20, 529-544.

한국수학교육학회지시리즈B:순수및응용수학