[PDF] Top 20 Recent developments of Schwarz's type trace inequalities for operators in Hilbert spaces

... other trace inequalities see [7], [18], [41], [33], [51], [58], [74] and ...some recent trace inequalities obtained by the author for operators in Hilbert spaces ... See full document

... selfadjoint operators in Hilbert spaces, Filomat 24 (2010), ...Jensen’s type inequalities for log-convex functions of selfadjoint operators in Hilbert spaces, ... See full document

... Young inequalities, ...Some inequalities for positive definite matrices, in: ...General Inequalities 2, Proceedings of the 2nd International Confer- ence on General Inequalities, Birkh¨ auser, ... See full document

... For a recent monograph devoted to various inequalities for functions of selfadjoint operators, see [7] and the references therein. For other results, see [14], [8] and [10]. The following result that ... See full document

... 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 involved operator ... 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

... In recent years, Pog´any et ...discrete Hilbert-type inequalities with nonhomogeneous kernels using special ...many Hilbert- type integral inequalities with the particular ... See full document

... integral inequalities may be stated, however we do not present them ...other recent results on the ˇ Cebyˇ sev inequality in either discrete or integral form see [2], [5], [6], [7], [8], [9], [15], [17], ... See full document

... operator inequalities for functions de…ned by power series with real coe¢ cients and, more speci…cally, with non- negative coe¢ ...these inequalities some recent reverses of the Schwarz ... See full document

... R\ { 0 } . For r ∈ (− ∞ , 0) ∪ [1, ∞ ), f is convex while for r ∈ (0, 1), f is concave. Let r ≥ 1 and A be a selfadjoint operator on the Hilbert space H and assume that Sp (A) ⊆ [m, M] for some scalars m, M with 0 ... 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

... Dragomir, Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces.. Fink, A treatise on Grüss’ inequality, Analytic and Geometric Inequal[r] ... See full document

... 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 B = ψ (S) ... See full document

... Motivated by the above results we investigate in this paper other Gr¨ uss’ type inequalities for selfadjoint operators in Hilbert spaces. Some of the obtained results improve the ... See full document

... the inequalities from Theorem 7 can be used to obtain reverse inequalities of Gr¨ uss’ type for various particular instances of operator func- tions, see for instance ... 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

... 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

... Zaidman, S., Bohr-Neugebauer theorem for operators of finite rank in Hilbert spaces, Atti Acad.. Zaidman, S., A convexity result for weak differential inequalities, Canad.[r] ... See full document

... Motivated by the above results, we obtain in this paper some new in- equalities for positive linear maps of continuous synchronous (asynchronous) functions of selfadjoint linear operators in Hilbert ... See full document

... {i, s} that can be naturally defined on the Banach algebra B (H ) of all bounded linear operators defined on a Hilbert space ...Reverse inequalities that provide upper bounds for the ... See full document