Results 221 to 230 of about 1,694 (263)
Elementary proofs of operator monotonicity of certain functions (Operator monotone functions and related topics)openaire
Norm Inequality for Operator Monotone Functions
Norm Inequality for Operator Monotone Functionsopenaire
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Some operator inequalities involving operator monotone functions
Bulletin des Sciences Mathématiques, 2021Let \(\mathcal H\) denote a complex Hilbert space and \({\mathcal B}(\mathcal H)\) denote the space of all bounded linear opeartors on \(\mathcal H\). For positive invertible operators \(A,B \in {\mathcal B}(\mathcal H)\) and for \(\nu \in [0,1]\), the weighted operator arithmetic (\(\triangledown_{\nu}\)), geometric (\(\sharp_{\nu}\)), and harmonic (\(
Hosna Jafarmanesh +2 more
openaire +2 more sources
Jensen’s inequality for operator monotone functions
Rendiconti del Circolo Matematico di Palermo, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mond, B., Pečarić, J. E.
openaire +2 more sources
Operator Inequalities Involving Operator Monotone Functions
2021In this chapter, we gather improvements of known operator inequalities involving positive linear maps, geometric means, operator monotone functions, and doubly concave functions. We note that these types of operator inequalities have essential applications in the theory of functional equations in non-euclidean geometry.
Mohammad Bagher Ghaemi +3 more
openaire +1 more source
Operator monotone functions on accretive matrices
Positivity, 2023The authors prove three main results. First, let \(f\) be a real-valued operator monotone function on the positive real line. Let \(A\) be an accretive matrix. An integral representation for \(f(A)\) in terms of a positive measure on the nonnegative real line is obtained. Next, let \(f\) be an operator monotone function from the positive real line into
Ghazanfari, Amir Ghasem +1 more
openaire +2 more sources
On some operator monotone functions
Integral Equations and Operator Theory, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uchiyama, Mitsuru, Hasumi, Morisuke
openaire +1 more source
Monotone Operators Representable by l.s.c. Convex Functions
Set-Valued Analysis, 2005The authors generalize a theorem due to \textit{S. Fitzpatrick} [Proc. Cent. Math. Anal. Aust. Natl. Univ. 20, 59--65 (1988; Zbl 0669.47029)], who gave a representation for maximal monotone operators by convex functions. They obtain several characterizations for monotone operators in Banach spaces through convex lower semicontinuous functions and ...
Martínez-Legaz, J.-E., Svaiter, B. F.
openaire +1 more source
New inequalities for operator monotone functions
Annals of the University of Craiova - Mathematics and Computer Science Series, 2021"In this paper we prove that, if f:[0,∞)→R is operator monotone on [0,∞), then for all A, B such that 0<α≤A≤β<γ≤B≤δ for some positive constants α, β, γ, δ, 0≤(γ-β)((f(δ)-f(β))/(δ-β))≤f(B)-f(A)≤(δ-α)((f(γ)-f(α))/(γ-α)). In particular, we have the refinement and reverse of the celebrated Löwner-Heinz inequality 0<(γ-β)((δ^{r}-β^{r})/(δ-β))≤B^{r}-
openaire +1 more source
Strong monotonicity of operator functions
Integral Equations and Operator Theory, 2000Let \(A\), \(B\) be bounded selfadjoint operators on a Hilbert space. We will give a formula to get the maximum subspace \({\mathcal M}\) such that \({\mathcal M}\) is invariant for \(A\) and \(B\), and \(A|_{{\mathcal M}}= B|_{{\mathcal M}}\). We will use this to show strong monotonicity or strong convexity of operator functions. We will see that when
openaire +1 more source