[PDF] Top 20 Inequalities for Some Functionals Associated with Bounded Linear Operators in Hilbert Spaces

... We recall that a bounded linear operator T : H → H is called strongly c 2 - accretive (with c 6= 0) if Re hT y, yi ≥ c 2 for each y ∈ H, kyk = 1. For c = 0, the operator is called accretive. Therefore, and ... 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 applications ... See full document

... several inequalities for the functional µ (·, ·) under various assumptions for the operators involved, includ- ing operators satisfying the uniform (α, β) −property and operators for which the ... See full document

... Abstract. Some 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 ... See full document

... 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

... 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

... Remark 4 . It is well known that for a self-adjoint operator A and for a positive number a we have kAk ≤ a if and only if −a · I ≤ A ≤ a · I. This is also equivalent to the condition σ (A) ⊆ [−a, a] , where σ (A) denotes ... 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 the Banach ... 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

... (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, 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

... 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

... 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 Hilbert Space. Here, we consider some important classes of Bounded linear operators including projections, Unitary Operators, and self – adjoint operators on a ... 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, Demonstratio ... See full document

... commuting bounded selfadjoint operators on the complex Hilbert space H, then there exists a bounded selfadjoint operator S on H and two bounded functions ϕ and ψ such that A = ϕ (S) and ... 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

... where A is a self-adjoint and compact operator on B (H ), f, g ∈ C (sp (A)) continuous and non-negative functions and φ : B ( H ) → B ( H ) be a n-normalized bounded positive linear map. In addition, by ... 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