We show also that if t 0 t 0 mathContainer Loading Mathjax is a point in the domain of a continuous function f , then f is operator monotone if and only if (f(t)f(t 0 )/(tt 0 ) ( f ( t ) f ( t 0 ) / ( t t 0 ) m
Let σ be a non-trivial operator mean in the sense of Kubo and Ando, and let OM+1 be the set of normalized positive operator monotone functions on (0,∞). In this paper, we study the class of σ-subpreserving functions f∈OM+1 satisfying ...
双语释义 n.(名词) [C](机器、设备等的)操作员a person who works a machine, apparatus, etc. [C]电话接线员a person who works a telephone switchboard [C]长袖善舞者manipulative person 英英释义 operator[ 'ɔpəreitə ] n. (mathematics) a symbol that represents a function from functions ...
The theory of operator means for positive linear operators on a Hilbert space which in connection with Löwner's theory for operator monotone functions was established by Kubo and Ando [8]. In the following discussion, as matrix versions, we will give the generalization of matrix inequalities ...
(or monotone function), a function whose increments Δf(x) = f(x′) − f(x) do not change sign when Δx = x′ − x > 0; that is, the increments are either always nonnegative or always nonpositive. Somewhat inaccurately, a monotonic function can be defined as a function that ...
Han, "Analysis on the strengthening buffer operator based on the strictly monotone function," International Journal of Applied Physics and Mathematics, vol. 3, no. 2, pp. 132-136, Feb. 2013.Hu Xiao-Li, Wu Zheng-Peng,Han Ran. Analysis on the strengthening buffer operator based on the ...
1.3 Monotone and Pseudomonotone Operators First, we discuss significant classes of linear unbounded operators having monotonicity properties. Definition 1.46 A linear operator A:D(A)→X defined on a vector subspace D(A) (called the domain of A) of a Banach space X is said to be unbounded if...
In this paper, we extend some signif i cant Ky Fan type inequalities ina large setting to operators on Hilbert spaces and derive their equality conditions.Among other things, we prove that if f : [0,∞) → [0,∞) is an operator monotonefunction with f(1) = 1, f ′ (1) = µ,...
explicit function in the gap for each n. A way to construct many such functions via solutions to the truncated moment problemwas recently obtained in [ 13 ]. Monotone operator functions on arbitrary C ∗ -algebras are considered in [ 12,14 ]. Also, connec- tions between operator monotone...
The iterative solution for a class of monotone operator equations 1IntroductionLetHbearealHilbertspacewithinnerprod-uct〈,〉.TheefectivedomainofTisD(T)={u|u∈H,Tu≠ }.AmultifunctionT:H→2Hsatisfie... JS Xiao,JG Lei - 《武汉大学学报(自然科学英文版)》 被引量: 7发表: 1999年 Strong Convergenc...