[PDF] Top 20 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

... 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

... is numerical radius [3], ...the numerical radius of a product of two operators [3, ...various inequalities for the sums of operators on Hilbert ... See full document

... Abstract. Some sharp bounds for the Euclidean operator radius of two bounded linear operators in Hilbert spaces are ...the numerical radius of linear operators are ... See full document

... 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

... 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

... 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

... Some elementary inequalities providing upper bounds for the dif- ference of the norm and the numerical radius of a bounded linear operator on Hilbert spaces under appropriate conditions [r] ... See full document

... 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

... paper some vector in- equalities for 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 ... See full document

... for operators in Hilbert spaces. Our purpose is to derive some new generalizations of Heinz operator inequalities by refining the ordering relations among Heinz means with different ... See full document

... establish some connections that exist between the numerical radius w (A) , operator norm kAk and the semi- inner products hA, Ii p,n and hA, Ii p,w with p ∈ {i, s} that can be naturally defined on ... See full document

... 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

... related inequalities in inner product spaces (II), ...Dragomir, Inequalities for the norm and the numerical radius of linear operators in Hilbert spaces, ... See full document

... DRAGOMIR, Reverse inequalities for the numerical radius of linear operators in Hilbert spaces, RGMIA Res.. S ´ ANDOR, Some inequalities in prehilbertian spaces, Studia Univ.[r] ... See full document

... 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

... Abstract. Some operator inequalities for synchronous functions that are related to the ˇ Cebyˇ sev inequality for sequences of real numbers are given. Natural examples for pairs of functions that have the ... See full document

... selfadjoint operators with Sp (A) ; Sp (B) [m; M ] for some real numbers m < M: If f : [m; M ] ! R is absolutely continuous then we have the Ostrowski type inequality for selfadjoint ... See full document

... Let A be a selfadjoint linear operator on a complex Hilbert space (H; h., .i) . The Gelfand map establishes a ∗-isometrically isomorphism Φ between the set C (Sp (A)) of all continuous functions defined on the ... See full document

... Theorem 3 (Dragomir, 2008, [3]). Let I be an interval and f : I → R be a convex and differentiable function on ˚ I (the interior of I) whose derivative f 0 is continuous on ˚ I . If A is a selfadjoint operators on ... See full document