Results 11 to 20 of about 524,848 (251)
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators [PDF]
Complex Analysis and Operator Theory, 2021 AbstractWe study the vacuum distribution, under an appropriate scaling, of a family of partial sums of nonsymmetric position operators on weakly monotone and monotone Fock spaces, respectively. We preliminary treat the case of weakly monotone Fock space, and show that any single operator has the vacuum law belonging to the free Meixner class.
Vitonofrio Crismale +2 more
openaire +7 more sources
Journal of Inequalities and Applications, 2009 We introduce and study a new class of nonlinear general -monotone operator equations with multivalued operator. By using Alber's inequalities, Nalder's results, and the new proximal mapping technique, we construct some new perturbed iterative ...
Lan Heng-you, Zhang Xian-jun, Wei Xing
doaj +1 more source
Properties of a quasi-uniformly monotone operator and its application to the electromagnetic $p$-$\text {curl}$ systems [PDF]
, 2022 summary:In this paper we propose a new concept of quasi-uniform monotonicity weaker than the uniform monotonicity which has been developed in the study of nonlinear operator equation $Au=b$.
Song, Chang-Ho +2 more
core +1 more source
On operator-valued monotone independence [PDF]
, 2014 We investigate operator-valued monotone independence, a noncommutative version of independence for conditional expectation. First we introduce operator-valued monotone cumulants to clarify the whole theory and show the moment-cumulant formula.
Hasebe, Takahiro, Saigo, Hayato
core +1 more source
Maximal monotone operators with non-maximal graphical limit
Examples and Counterexamples, 2022 We present a counterexample showing that the graphical limit of maximally monotone operators might not be maximally monotone. We also characterize the directional differentiability of the resolvent of an operator B in terms of existence and maximal ...
Gerd Wachsmuth
doaj +1 more source
Positivity, Betweenness, and Strictness of Operator Means
Abstract and Applied Analysis, 2015 An operator mean is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, the transformer inequality, and the fixed-point property.
Pattrawut Chansangiam
doaj +1 more source
IEEE Access, 2021 In this article, a derivative-free method of Hestenes-Stiefel type is proposed for solving system of monotone operator equations with convex constraints.
Auwal Bala Abubakar +5 more
doaj +1 more source
Reverse and improved inequalities for operator monotone functions [PDF]
, 2020 In this paper we provide several refinements and reverse operator inequalities for operator monotone functions in Hilbert spaces. We also obtain refinements and a reverse of Lowner-Heinz celebrated inequality that holds in the case of power ...
Dragomir, Sever S +2 more
core +2 more sources
Fixed Point Theory and Applications, 2009 We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method.
Chakkrid Klin-eam, Suthep Suantai
doaj +2 more sources
Strengthened convexity of positive operator monotone decreasing functions
, 2020 We prove a strengthened form of convexity for operator monotone decreasing positive functions defined on the positive real numbers. This extends Ando and Hiai's work to allow arbitrary positive maps instead of states (or the identity map), and functional
Yamashita, Makoto, Kirihata, Megumi
core +2 more sources