[PDF] Top 20 Reverse Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces

... 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

... 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 the Banach algebra B (H ) of all bounded linear ... See full document

... new inequalities for the operator norm and numerical radius of sums of bounded linear operators in Hilbert ...bounded linear operators and their applications for ... 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

... 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

... 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

... other inequalities between the operator norm and its numerical ...product spaces due to Goldstein-Ryff- Clarke [9], Dragomir-S´ andor [7] and Dragomir ... See full document

... new inequalities of the Kantorovich type are ...of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ... See full document

... operator radius of two bounded linear operators in Hilbert spaces are ...the numerical radius of linear operators are also ... See full document

... a Hilbert space over the real or complex number field K ( K = R , C ) ...bounded linear operators on a complex Hilbert space ...the numerical radius and the usual operator norm ... See full document

... (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 ... 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

... 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

... product spaces are given. Applications for norm and numerical radius inequalities for n-tuples of bounded linear operators and for functions of normal operators defined by ... See full document

... 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

... 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

... on numerical radius inequalities see [1], [3]-[7], [9]-[12], [14] and ...a linear space over the real or complex number field K and let us denote by H (X) the class of all positive ... See full document

... Proposition 1 Let A be a selfadjoint operator on the Hilbert space H and assume that Sp (A) ⊆ [m, M] for some scalars m, M with 0 < m < M. If f is a continuously differentiable convex function on [m, M] with ... See full document

... the interval [0, R) and since the function ψ(t) := ∥ (1 − t)T + tV ∥ is convex on [0, 1] we have that f a ′ ◦ ψ is also convex on [0, 1]. Utilising the Hermite- Hadamard inequality for convex functions (see for instance ... See full document