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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.
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참고문헌 (6)
참고문헌 신청
조열제 / 2004 / On Gram's determinant in $n$-inner product spaces / 대한수학회보 41(4):739~777
R.W. Freese / 2001 / Geometry of Linear 2-Normed Spaces / Nova Science Publishers, Inc
K.E. Gustafson / 1997 / Numerical Range / Springer
M.EL. Hadad / 2007 / Numerical radius inequalities for Hilbert space operators / Studia Math 182:133~140
P.K. Harikrishnan / 2011 / Riesz theorems in 2-inner product spaces / Novi Sad J. Math 41:57~61
R.W. Freese / 2001 / Geometry of Linear 2-Normed Spaces / Nova Science Publishers, Inc
K.E. Gustafson / 1997 / Numerical Range / Springer
M.EL. Hadad / 2007 / Numerical radius inequalities for Hilbert space operators / Studia Math 182:133~140
P.K. Harikrishnan / 2011 / Riesz theorems in 2-inner product spaces / Novi Sad J. Math 41:57~61
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