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A note on some inequalities for the $b$-numerical radius and $b$-norm in 2-Hilbert space operators
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In this paper, the definition $b$-numerical radius and $b$-norm is introduced and we present several $b$-numerical radius inequalities. Some applications of these inequalities are considered as well.
Abstract
In this paper, the definition $b$-numerical radius and $b$-norm is introduced and we present several $b$-numerical radius inequalities. Some applications of these inequalities are considered as well.
참고문헌 (6)
- 조열제, "On Gram's determinant in $n$-inner product spaces", 대한수학회보, 41(4), pp.739~777 (2004), 대한수학회
- R.W. Freese, "Geometry of Linear 2-Normed Spaces" (2001), Nova Science Publishers, Inc
- K.E. Gustafson, "Numerical Range" (1997), Springer
- M.EL. Hadad, "Numerical radius inequalities for Hilbert space operators", Studia Math, 182, pp.133~140 (2007)
- P.K. Harikrishnan, "Riesz theorems in 2-inner product spaces", Novi Sad J. Math, 41, pp.57~61 (2011)
- F. Kittaneh, "Numerical radius inequalities for Hilbert space operators", Studia Math, 168, pp.73~80 (2005)
관련 논문AI추천
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