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

ISSN : 3059-0604

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Vol.2 No.2

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A NOTE ON QUASI-SIMILAR QUASI-HYPONORMAL OPERATORS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1995, v.2 no.2, pp.91-95
Lee, Moo-Sang (InCheon Municipal Junior College)
Lee, Moo-Sang. (1995). A NOTE ON QUASI-SIMILAR QUASI-HYPONORMAL OPERATORS, 2(2), 91-95.

Abstract

Let H be an arbitrary complex Hilbert space and let (equation omitted)(H) be the *-algebra of all bounded linear operators on H. An operator T in (equation omitted)(H) is called normal if T$\^$＊/T = TT$\^$＊/, hyponormal if T$\^$＊/T $\geq$ TT$\^$＊/, and quasi-hyponormal if T$\^$＊/(T$\^$＊/T － TT$\^$＊/)A $\geq$ 0, or equivalently ∥T$\^$＊/T$\chi$∥ $\leq$ ∥TT$\chi$∥ for all $\chi$ in H.(omitted)

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한국수학교육학회지시리즈B:순수및응용수학

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