[PDF] Top 20 Some generalizations of operator inequalities for positive linear maps
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Some generalizations of operator inequalities for positive linear maps
... identity operator, and B(H) be the set of all bounded linear operators on a Hilbert space (H, ·, ...The operator norm is denoted by · . We write A ≥ if the operator A is ... See full document
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8. More operator inequalities for positive linear maps
... present some new operator inequality for convex ...type inequalities for convex and operator convex functions of self-adjoint operators for positive linear ...maps. ... See full document
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Operator inequalities associated with relative operator entropies
... of operator (α, β , γ)-mean, relative operator (α ,β , γ )-entropy and Tsallis relative operator (α, β , ...relative operator (α, β , γ)-entropy, relative operator (0, β , γ)-entropy ... See full document
21
Certain integral inequalities involving tensor products, positive linear maps, and operator means
... integral inequalities involving tensor products of con- tinuous field of Hilbert space operators and positive linear ...as generalizations of Kantorovich and Grüss ...obtain operator ... See full document
13
Some inequalities of Furuta's type for functions of operators defined by power series
... Abstract. Generalizations of Kato and Furuta inequalities for power series of bounded linear operators in Hilbert spaces are ...and some functions of interest such as the exponential, ... See full document
16
Some Schrödinger type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operator
... switched positive system with all subsystems associated with the Schrödinger operator being positive systems is very common in communication systems associated with the Schrödinger operator, ... See full document
8
On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces
... Let M be a Von Neumann algebra on the Hilbert space H , that is, M ⊂ B(H) is a C ∗ -algebra closed in the weak operator topology and contains the identity operator. We denote by M + the set of all ... See full document
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Linear operator inequalities for stable weakly regular linear systems
... a positive{real ...singular positive-real lemma for parabolic systems was rst considered in Balakrishnan [2] and it is interesting to compare our results with his and those in Pandol ... See full document
45
Cebyšev’s type inequalities for positive linear maps of selfadjoint operators in Hilbert spaces
... [12] S. S. Dragomir, J. Pečarić and J. Sándor, The Chebyshev inequality in pre-Hilbertian spaces. II. Proceedings of the Third Symposium of Mathematics and its Applications (Timişoara, 1989), 75–78, Rom. Acad., ... See full document
15
Hermite–Hadamard type inequalities for operator geometrically convex functions
... of operator geometri- cally convex functions for positive linear operators and prove some Hermite- Hadamard type inequalities for these ...trace inequalities for operators which ... See full document
16
Weighted arithmetic–geometric operator mean inequalities
... bounded linear operators on a Hilbert space (H, ·, · ) and I be the identity ...the operator norm. A ≥ 0 (A > 0) implies that A is a positive (strictly positive) ...A linear map : ... See full document
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Some refinements of operator reverse AM GM mean inequalities
... bounded linear operators on a Hilbert space ...an operator in B(H), we identify a scalar with the identity operator I multiplied by this ...the operator A is positive. A is said to be ... See full document
7
Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
... be operator convex (operator concave) if f ((1 − λ ) A + λ B) ≤ (≥) (1 − λ ) f (A) + λ f (B) (OC) in the operator order, for all λ ∈ [0, 1] and for every selfadjoint operator A and B on a ... See full document
14
Operator P class functions
... an operator P-class function and give several ...is operator decreasing. We also prove that if f is an operator P- class function on an interval J, ... See full document
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Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
... Inequalities involving trigonometric functions are used in many applications in various fields of mathematics such as difference equations and inequalities [1], theory of stability, theory of approximations, ... See full document
15
Multiplicative inequalities for weighted arithmetic and harmonic operator means
... establish some multiplicative inequalities for weighted arithmetic and harmonic operator means under various as- sumption for the positive invertible operators A, ...B. Some ... See full document
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Some Classes of Meromorphic Multivalent Functions with Positive Coefficients Involving Certain Linear Operator
... [14] A. Schild, H. Silverman, Convolution of univalent functions with negative coefficients, Ann. Univ. Mariae Curie-Sklodowska Sect A 29(1975) 99-107. [15] H. M. Srivastava, H. M. Mossen, M. K. Aouf, A unified ... See full document
23
On some generalizations of dynamic Opial type inequalities on time scales
... prove some new generalizations of dynamic Opial-type inequalities on time ...these inequalities, as special cases, we formulate some integral and discrete inequalities proved in ... See full document
14
Some complementary inequalities to Jensen’s operator inequality
... (iii) If f ≡ g is strictly convex twice differentiable on [m, M] and 0 < α ≤ f on [m, M], then (25) improves inequality in [16, Theorem 3.4]. If f is operator convex, then Jensen’s operator inequality ... See full document
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Some generalizations of Aczél, Bellman's inequalities and related power sums
... functional generalizations of the Cauchy-Schwarz inequality [14] and of the Hölder inequality [15,16], we will establish some functional generalizations of the Aczél inequality and of the Bellman ... See full document
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