Some inequalities for the numerical radius and rhombic numerical radius
نویسندگان
چکیده
منابع مشابه
Some numerical radius inequalities with positive definite functions
Using several examples of positive definite functions, some inequalities for the numerical radius of matrices are investigated. Also, some open problems are stated.
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We obtain some inequalities related to the powers of numerical radius inequalities of Hilbert space operators. Some results that employ the Hermite-Hadamard inequality for vectors in normed linear spaces are also obtained. We improve and generalize some inequalities with respect to Specht's ratio. Among them, we show that, if $A, Bin mathcal{B(mathcal{H})}$ satisfy in some conditions, it follow...
متن کاملsome numerical radius inequalities with positive definite functions
using several examples of positive definite functions, some inequalities for the numerical radius of matrices are investigated. also, some open problems are stated.
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We give several sharp inequalities for the numerical radius of Hilbert space operators .It is shown that if A and B are bounded linear operators on complex Hilbert space H , then 1 2 1 2(1 ) 2(1 ) 2 2 2 2 1 ( ) 2 ( ) 2 r r r r r r w A B A B A B A B α α α α − − − ∗ ∗ ⎛ ⎞ + ≤ + + + + + ⎜ ⎟ ⎝ ⎠ , for 0<r 1 ≤ and ( ) 1 , 0 ∈ α , and if ( ) n A M ∈ , then 2 1 ( ) 4 w A ≤ ( ) 2 2 A A A A ∗ ∗ + + − , ...
متن کاملFurther inequalities for operator space numerical radius on 2*2 operator matrices
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ژورنال
عنوان ژورنال: Kragujevac Journal of Mathematics
سال: 2018
ISSN: 1450-9628,2406-3045
DOI: 10.5937/kgjmath1804569b