Numerical radius inequalities for Hilbert space operators. II
نویسندگان
چکیده
منابع مشابه
Sharper Inequalities for Numerical Radius for Hilbert Space Operator
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 ∗ ∗ + + − , ...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2007
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm182-2-3