[PDF] Top 20 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

... new inequalities for the operator norm and numerical radius of sums of bounded linear operators in Hilbert ...two bounded linear operators and their ... 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 bounded linear operator ...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 ... 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 ... See full document

... paper some new inequalities of Kantorovich ...of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical result in the case when the ... 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

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

... 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

... of linear operators T, U ∈ B(H) and numbers α, β ∈ C such that the transform C α,β (T, U) is accretive, it suffices to select two bounded linear operator S and V and the complex numbers z, w ... See full document

... paper some generalizations of Buzano inequality for n-tuples of vectors in inner product spaces are ...and numerical radius inequalities for n-tuples of bounded linear ... 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 ... 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 ... See full document

... Furuta inequalities for power series of bounded linear operators in Hilbert spaces are ...normal operators and some functions of interest such as the exponential, ... 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 ...as some results for vectors in inner product spaces due to Goldstein-Ryff- Clarke [9], Dragomir-S´ andor [7] and Dragomir ... 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

... 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