본문 바로가기
KERD
논문KCI 등재

ON SPECTRA OF 2-ISOMETRIC OPERATORS

김철준|양영오
한국수학교육학회|2009.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제3호|pp. 277-281

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

spectrum2-isometryWeyl spectrumWeyl's theorem.
주제분류수학

초록

A Hilbert space operator T is a 2-isometry if T*²T²-2T*T +I = 0. 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.

Abstract

A Hilbert space operator T is a 2-isometry if T*²T²-2T*T +I = 0. 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.

참고문헌 (6)

  1. J. Agler, "m-isometric transformations of Hilbert space I", Integral Equa-tions and Operator Theory, 21, pp.383~429 (1995)
  2. S. K. Berberian, "Introduction to Hilbert space" (1961), Oxford University Press
  3. S. K. Berberian, "The Weyl spectrum of an operator", Indiana Univ. Math. J, 20, pp.529~544 (1970)
  4. J. B. Conway, "A course in functional analysis" (1985), Springer-Verlag
  5. K. K. Oberai, "On the Weyl spectrum", Illinois J. Math, 18, pp.208~212 (1974)
  6. S.M.Patel:2-isometric operators.Glasnik Mathematicki 37, "2-isometric operators", Glasnik Mathematicki, 37(57), pp.143~147 (2002)

관련 논문AI추천

SPECTRAL PROPERTIES OF k-QUASI-2-ISOMETRIC OPERATORSFei Zuo, Junli Shen한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제3호Spectral Properties of k-quasi-class A(s, t) OperatorsNaim Latif Braha, Salah Mecheri경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제3호WEYL'S TYPE THEOREMS FOR ALGEBRAICALLY (p, k)-QUASIHYPONORMAL OPERATORSMohammad Hussein Mohammad Rashid, Mohd Salmi Mohd Noorani대한수학회 · 대한수학회논문집2012 · 제27권 제1호Continuity of the spectrum on a class A(k)김인현, 전인호강원경기수학회 · 한국수학논문집2013 · 제21권 제1호A NOTE ON *-PARANORMAL OPERATORS AND RELATED CLASSES OF OPERATORSAtsushi Uchiyama, Kotaro Tanahashi대한수학회 · 대한수학회보2014 · 제51권 제2호A NOTE ON WEYL’S THEOREM FOR -PARANORMAL OPERATORS김안현대한수학회 · 대한수학회논문집2012 · 제27권 제3호

이 간행물의 다른 논문 (7건)

A NOTE ON DIFFERENCE SEQUENCES박진우pp. 255-258INTUITIONISTIC FUZZY MINIMAL SPACES민원근pp. 259-269SCREEN CONFORMAL LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM진대호pp. 271-276ON THE GALOIS GROUP OF ITERATE POLYNOMIALS최은미pp. 283-296GENERALIZED HYERS–ULAM STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS김학만, 손은영pp. 297-306
원문 보기