[PDF] Top 20 Semi-Inner Products and the Numerical Radius of Bounded Linear Operators in Hilbert Spaces

... the semi-inner products hA, Ii p,n , hA, Ii p,w with p ∈ {i, s} , the numerical radius w (A) and the operator norm kAk outlined above, the aim of this paper is to establish deeper ... See full document

... and numerical radius of sums of bounded linear operators in Hilbert ...two bounded linear operators and their applications for the Cartesian decomposition of ... 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

... (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

... 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 involved operator A satisfies the usual condition ...in ... 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

... operator numerical radius w ( ) ; which is a norm on B (H ) ; then we can obtain the following hypo-q-numerical radius of (T 1 ; : : : ; T n ) 2 B (n) (H ) de…ned ... 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

... 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

... 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

... in inner product spaces are ...and numerical radius inequalities for n-tuples of bounded linear operators and for functions of normal operators defined by power ... See full document

... in inner product spaces are ...and numerical radius inequalities for n-tuples of bounded linear operators and for functions of normal operators defined by power ... 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

... The main aim of this paper is to establish other inequalities between the operator norm and its numerical radius. We employ, amongst others, the Buzano inequality as well as some results for vectors in ... See full document

... 2011 Numerical Radius Inequalities for Commutators of Hilbert Space Operators.. Numerical Functional Analysis and Optimization, 32, 739-749.[r] ... See full document

... or norm , convergence . From the Riesz representation theorem , this definition of weak convergence for sequences in a Hilbert space is a special case of Definition of weak convergence in a Banach space . Strong ... 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

... For other inequalities for f -divergence see [2], [7]- [12] and [13] Motivated by the above results, in this paper we obtain some new inequalities for quantum f - divergence of trace class operators in ... See full document