Results 11 to 20 of about 30 (30)
Fixed Point Results for C‐Contractive Mappings in Generalized Metric Spaces with a Graph
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we establish fixed point theorems for Chatterjea contraction mappings on a generalized metric space endowed with a graph. Our results extend, generalize, and improve many of existing theorems in the literature. Moreover, some examples and an application to matrix equations are given to support our main result.
Karim Chaira +3 more
wiley +1 more source
A Survey on Operator Monotonicity, Operator Convexity, and Operator Means
International Journal of Analysis, Volume 2015, Issue 1, 2015., 2015 This paper is an expository devoted to an important class of real‐valued functions introduced by Löwner, namely, operator monotone functions. This concept is closely related to operator convex/concave functions. Various characterizations for such functions are given from the viewpoint of differential analysis in terms of matrix of divided differences ...
Pattrawut Chansangiam, Julien Salomon
wiley +1 more source
Solvability Theory and Iteration Method for One Self‐Adjoint Polynomial Matrix Equation
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 The solvability theory of an important self‐adjoint polynomial matrix equation is presented, including the boundary of its Hermitian positive definite (HPD) solution and some sufficient conditions under which the (unique or maximal) HPD solution exists.
Zhigang Jia +4 more
wiley +1 more source
Some Operator Inequalities on Chaotic Order and Monotonicity of Related Operator Function
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We will discuss some operator inequalities on chaotic order about several operators, which are generalization of Furuta inequality and show monotonicity of related Furuta type operator function.
Changsen Yang, Yanmin Liu, Yisheng Song
wiley +1 more source
Spectrum of Quasi‐Class (A,k) Operators
International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011 An operator T ∈ B(ℋ) is called quasi‐class (A,k) if T∗k(|T2| − |T|2)Tk ≥ 0 for a positive integer k, which is a common generalization of class A. In this paper, firstly we consider some spectral properties of quasi‐class (A,k) operators; it is shown that if T is a quasi‐class (A,k) operator, then the nonzero points of its point spectrum and joint point
Xiaochun Li +3 more
wiley +1 more source
Some of the next articles are maybe not open access.
Improved Young and Heinz inequalities for matrices
Journal of Mathematical Analysis and Applications, 2010Fuad Kittaneh, Yousef Manasrah
exaly
A converse of Loewner–Heinz inequality and applications to operator means
Journal of Mathematical Analysis and Applications, 2014Takeaki Yamazaki, Mitsuru Uchiyama
exaly
Further refinements of the Heinz inequality
Linear Algebra and Its Applications, 2014M S Moslehian +2 more
exaly