[PDF] Top 20 Numerical Radius Inequalities for Sums and Products of Operators
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Numerical Radius Inequalities for Sums and Products of Operators
... w X ≤ X + X ∗ (12) The main purpose of this paper is to give considerable improvements of the inequalities (7), (8), (9), (10), (11), and (12). In order to achieve our goal, we need the following three lemmas ... See full document
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Norm and Numerical Radius Inequalities for Sums of Bounded Linear Operators in Hilbert Spaces
... new inequalities for the operator norm and numerical radius of sums of bounded linear operators in Hilbert ...linear operators and their applications for the Cartesian ... See full document
13
Norm and numerical radius inequalities for sums of operators in Hilbert spaces
... For other results on numerical radius inequalities see [1], [3]-[7], [9]-[12], [14] and [18]-[23]. Let X be a linear space over the real or complex number field K and let us denote by H (X) the class ... See full document
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Numerical Radius and Operator Norm Inequalities
... general numerical radius inequality that generalizes ...which numerical radius inequalities for sums, products, and commutators of operators are ...norm ... See full document
11
Some numerical radius inequalities for power series of operators in Hilbert spaces
... 6. Davidson, KR, Holbrook, JAR: Numerical radii of zero-one matrices. Mich. Math. J. 35, 261-267 (1988) 7. Müller, V: The numerical radius of a commuting product. Mich. Math. J. 39, 255-260 (1988) 8. ... See full document
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On The Dragomir Extension of Furuta’s Inequality and Numerical Radius Inequalities
... |A| 2α x, x D |A ∗ | 2(1−α) y, y E , 0 ≤ α ≤ 1. (1.3) for every operators A ∈ B ( H ) and any vectors x, y ∈ H , where |A| = (A ∗ A) 1/2 . In 1988, Kittaneh [14] proved a very interesting extension combining both ... See full document
15
Some Inequalities for the Euclidean Operator Radius of Two Operators in Hilbert Spaces
... Euclidean radius of two operators and investigate other particular instances of ...operator radius, the usual numerical radius of a composite operator and the operator norm are also ... See full document
9
Inequalities Of Schwarz Type For n-Tuples Of Vectors In Inner Product Spaces With Applications
... new inequalities of Schwarz and Buzano type for n-tuples of vectors in inner product spaces are ...and numerical radius inequalities for n-tuples of bounded linear operators and for ... See full document
17
New norm equalities and inequalities for operator matrices
... F: Numerical radius inequalities for Hilbert space ...some inequalities for Hilbert space ...G: Inequalities, 2nd ...and inequalities for operator ... See full document
9
Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... the numerical radius of the involved operators A and B or certain expressions constructed with these operators, we establish in this paper some natural inequalities of the ... See full document
9
Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... the numerical radius of the involved operators A and B (or certain expressions constructed with these operators), we establish in this paper some natural inequalities of the ... See full document
8
Some vector inequalities for two operators in Hilbert spaces with applications
... two operators A, B for which the operator Re (B ∗ A) is nonnega- tive in the operator order that are related to the inequality ...and numerical radius inequalities are provided as ... See full document
18
Vector Inequalities for Powers of Some Operators in Hilbert Spaces
... Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self- commutators are given1. The numerical rang[r] ... See full document
12
Power Inequalities for the Numerical Radius of a Product of Two Operators in Hilbert Spaces
... Dragomir, Inequalities for the numerical radius, the norm and the maximum of the real part of bounded linear operators in Hilbert spaces.. Linear Algebra Appl.[r] ... See full document
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Semi-Inner Products and the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... concerning inequalities between the operator norm and numer- ical radius see the papers [2], [5], [6], [7], [8], [9], the books [1], [10], [11] and the references ... See full document
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New Reverse Inequalities for Normal Operators in Hilbert Spaces
... Some of the obtained results are based on recent reverse results for the Schwarz inequality in Hilbert spaces due to the author1. Numerical radius, Bounded linear operators, Normal opera[r] ... See full document
9
ON SOME INEQUALITIES FOR THE GENERALIZED EUCLIDEAN OPERATOR RADIUS
... of numerical radius; one of the most re- cent interesting generalization is what so called the generalized Euclidean operator ...the numerical radius of multivariable ...new ... See full document
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On some inequalities for numerical radius of operators in Hilbert Spaces
... (1.13) w (T ) = sup {|λ| , λ ∈ W (T )} = sup {|hT x, xi| , kxk = 1} . It is well known that w (·) is a norm on the Banach algebra B (H) of all bounded linear operators T : H → H. This norm is equivalent with the ... See full document
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Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces
... Dragomir, Some inequalities of the Gr¨ uss type for the numerical radius of bounded linear operators in Hilbert spaces, Preprint, RGMIA Res.. Gustafson and D.K.M.[r] ... See full document
10
Some generalization of power inequalities for the numerical radius of sum of products of two operators in a Hilbert space
... In this paper, we generalize some power inequalities numerical radius for the finite number sum of product of two operators in a Hilbert space.. Also we generalized some inequalities for[r] ... See full document
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