Results 101 to 110 of about 6,185,996 (263)
Operator Aczel inequality [PDF]
Linear Algebra Appl. 434 (2011), no. 8, 1981-1987, 2010 We establish several operator versions of the classical Aczel inequality. One of operator versions deals with the weighted operator geometric mean and another is related to the positive sesquilinear forms. Some applications including the unital positive linear maps on $C^*$-algebras and the unitarily invariant norms on matrices are presented.
arxiv
Operator-valued measures and linear operators
Journal of Mathematical Analysis and Applications, 2008 AbstractWe study operator-valued measures m:Σ→L(X,Y), where L(X,Y) stands for the space of all continuous linear operators between real Banach spaces X and Y and Σ is a σ-algebra of sets. We extend the Bartle–Dunford–Schwartz theorem and the Orlicz–Pettis theorem for vector measures to the case of operator-valued measures.
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Narrow operators on lattice-normed spaces and vector measures [PDF]
arXiv, 2015 We consider linear narrow operators on lattice-normed spaces. We prove that, under mild assumptions, every finite rank linear operator is strictly narrow (before it was known that such operators are narrow). Then we show that every dominated, order continuous linear operator from a lattice-normed space over atomless vector lattice to an atomic lattice ...
arxiv
Lower estimates for linear operators with smooth range [PDF]
arXiv, 2017 We introduce a new method to prove lower estimates for the approximation error of general linear operators with smooth range in terms of classical moduli of smoothness and related $K$-functionals. In addition, we explicitly show how to derive lower estimates for positive linear operators with smooth range and apply this result to classical ...
arxiv
Fixed Point Theorems for Middle Point Linear Operators in L1
Fixed Point Theory and Applications, 2008 We introduce the notion of middle point linear operators. We prove a fixed point result for middle point linear operators in L1. We then present some examples and, as an application, we derive a Markov-Kakutani type fixed point result for commuting ...
Anna Martellotti, Milena Chermisi
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The Spectra of Bounded Linear Operators on the Sequence Spaces [PDF]
, 1957 Charles J. A. Halberg
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A sequence of positive linear operators
Journal of Numerical Analysis and Approximation Theory, 1995 Not available.
M. Ivan, I. Rașa
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An Extension of Hypercyclicity for N-Linear Operators
Abstract and Applied Analysis, 2014 Grosse-Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N-linear operators that is inspired by difference equations ...
Juan Bès, J. Alberto Conejero
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Some Linear Operators in the Theory of Partial Differential Equations [PDF]
, 1950 Stefan Bergman, M. Schiffer
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