[PDF] Top 20 New Reverse Inequalities for Normal Operators in Hilbert Spaces
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New Reverse Inequalities for Normal Operators in Hilbert Spaces
... 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
9
Some Inequalities for (α,β)-Normal Operators in Hilbert Spaces
... various inequalities between the operator norm and its numerical radius of (α, β)-normal operators in Hilbert ...classical inequalities for vectors in inner product spaces due to ... See full document
9
New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces
... 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
12
Some inequalities of Furuta's type for functions of operators defined by power series
... Furuta inequalities for power series of bounded linear operators in Hilbert spaces are ...for normal operators and some functions of interest such as the exponential, hyperbolic ... See full document
16
Some means inequalities for positive operators in Hilbert spaces
... In this paper, we obtain two refinements of the ordering relations among Heinz means with different parameters via the Taylor series of some hyperbolic functions and by the way, we derive new generalizations of ... See full document
13
Some New Grüss' Type Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces
... 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 the ... See full document
16
Čebyšev's Type Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces
... the reverse inequality holds in ...selfadjoint operators and Sp (A) , Sp (B) ⊆ [m, M ] , then for any continuous synchronous (asynchronous) functions f, g : [m, M ] −→ R we have the more general ... See full document
15
Semi-Inner Products and the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... linear operators defined on a Hilbert space H. Reverse inequalities that provide upper bounds for the nonnegative quantities kAk − w (A) and w (A) − hA, Ii p,n under various as- sumptions for ... See full document
16
Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces
... 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
11
Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
... [20] Dragomir S.S., Some Slater’s type inequalities for convex functions of selfadjoint operators in Hilbert spaces, Rev. Un. Mat. Argentina 52(2011), no. 1, 109–120. Preprint RGMIA Res. Rep. ... See full document
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Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces
... Abstract. Some inequalities for quantum f-divergence of trace class opera- tors in Hilbert spaces are obtained. It is shown that for normalised convex functions it is nonnegative. Some upper bounds ... See full document
21
Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces
... The following result provides reverses for the inequalities (2.2) and (2.3) above: Theorem 2.2. Let A be a selfadjoint operator on the Hilbert space H and assume that Sp (A) ⊆ [m, M ] for some scalars m, M ... See full document
18
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
7
Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces
... The proof follows from Theorem 4 via Lemma 3 and the details are omitted. Corollary 9 . Let A and B be the Cartesian decomposition of a normal op- erator T and a, b, c, d ∈ R such that a · I ≤ A ≤ c · I and b · I ... See full document
10
Trace inequalities of Shisha-Mond type for operators in Hilbert spaces
... 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
16
Some Slater's Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
... Theorem 5 (Dragomir, 2008, [4]). Let I be an interval and f : I → R be a convex and differentiable function on ˚ I (the interior of I) whose derivative f 0 is continuous on ˚ I . If A is a selfadjoint operators on ... See full document
13
Refinements of the Cauchy-Bunyakovsky-Schwarz Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
... Corollary 4 . Let (ϕ, ψ) be a (DEC)-pair of continuous functions on [0, ∞)× [0, ∞) . If A is a selfadjoint operator on the Hilbert space (H ; h., .i) with Sp (A) ⊆ [m, M ] for some scalars m < M and if f and g ... See full document
12
Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces
... 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 the ... See full document
10
Some Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces
... complex Hilbert space (H; h :; : i ) : The Gelfand map establishes a -isometrically isomorphism between the set C (Sp (A)) of all continuous functions de…ned on the spectrum of A; denoted Sp (A) ; an the C ... See full document
10
Norm inequalities of Čebyšev type for power series in Banach algebras
... Dragomir, SS: Inequalities for the Čebyšev functional of two functions of selfadjoint operators in Hilbert spaces.. Dragomir, SS: Some inequalities for power series of selfadjoint opera[r] ... See full document
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