한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제25권1호
  • /
  • Pages.39-48
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  • 2018
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES

  • 투고 : 2018.01.10
  • 심사 : 2018.02.20
  • 발행 : 2018.02.28
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초록

In this work, by applying the binomial expansion, some refinements of the Young and Heinz inequalities are proved. As an application, a determinant inequality for positive definite matrices is obtained. Also, some operator inequalities around the Young's inequality for semidefinite invertible matrices are proved.

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참고문헌

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  2. D.R. Farenick & M.S. Manjegani: Young's inequality in operator algebras. J. Ramanu-jan Math. Soc. 20 (2005), 107-124.
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