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

ISSN : 3059-0604

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Vol.16 No.3

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ON SPECTRA OF 2-ISOMETRIC OPERATORS

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2009, v.16 no.3, pp.277-281
Yang, Young-Oh
Kim, Cheoul-Jun
Yang,, Y. , & Kim,, C. (2009). ON SPECTRA OF 2-ISOMETRIC OPERATORS, 16(3), 277-281.

Abstract

A Hilbert space operator T is a 2-isometry if $T^{{\ast}2}T^2\;-\;2T^{\ast}T+I$ = 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

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Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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