Results 1 to 10 of about 18,183 (255)
Journal of Mathematical Physics, 1997 This work extends the previous development of new mathematical machinery for nonlinear operators acting on a vector space. Starting from the usual concept of inner product, we find that Hermitian, anti-Hermitian, and unitary nonlinear operators can be defined without bringing in the ideas of a dual vector space or adjoint operators.
Charles Schwartz, Schwartz Charles
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Hamiltonian Realizations of Nonlinear Adjoint Operators [PDF]
IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kenji Fujimoto +2 more
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A fixed point theorem for a class of differentiable stable operators in Banach spaces
Fixed Point Theory and Applications, 2006 We study Fréchet differentiable stable operators in real Banach spaces. We present the theory of linear and nonlinear stable operators in a systematic way and prove solvability theorems for operator equations with differentiable expanding operators.
Vadim Azhmyakov
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Some convergence results for nonlinear Baskakov-Durrmeyer operators
Karpatsʹkì Matematičnì Publìkacìï, 2023 This paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators $(NBD_{n})$ of the form \[ (NBD_{n})(f;x) =\int_{0}^\infty K_{n}(x,t,f(t))\,dt \] with $x\in [0,\infty)$ and $n\in\mathbb{N}$.
H.E. Altin
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Nonlinear filtering with transfer operator [PDF]
2013 American Control Conference, 2013 This paper presents a new nonlinear filtering algorithm that is shown to outperform state-of-the-art particle filters with resampling. Starting from the Itˆo stochastic differential equation, the proposed algorithm harnesses Karhunen- Lo'eve expansion to derive an approximate non-autonomous dynamical system, for which transfer operator based density ...
Dutta, Parikshit +2 more
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Quantitative approximation by nonlinear Angheluta-Choquet singular integrals
Journal of Numerical Analysis and Approximation Theory, 2020 By using the concept of nonlinear Choquet integral with respect to a capacity and as a generalization of the Poisson-Cauchy-Choquet operators, we introduce the nonlinear Angheluta-Choquet singular integrals with respect to a family of submodular set ...
Sorin Gal, Ionut Iancu
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On the Development of Nonlinear Operator Theory [PDF]
Functional Analysis and Its Applications, 2020 Приведены основные результаты для нелинейных операторов. Эти результаты включают нелинейные версии классических теорем: теоремы о равномерной ограниченности и теоремы Хана-Банаха. Кроме того, показано, что отображения метризуемого пространства в нормированное пространство могут лежать в некоторых нормированных пространствах при подходящем определении ...
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Fixed Point Theory and Applications, 2010 We establish two fixed point theorems for nonlinear operators on Banach spaces partially ordered by a cone. The first fixed point theorem is concerned with a class of mixed monotone operators.
Liang Jin, Xiao Ti-Jun, Ding Hui-Sheng
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Nonlinear operators and their propagators [PDF]
Journal of Mathematical Physics, 1997 Mathematical physicists are familiar with a large set of tools designed for dealing with linear operators, which are so common in both the classical and quantum theories; but many of those tools are useless with nonlinear equations of motion. In this work a general algebra and calculus is developed for working with nonlinear operators: The basic new ...
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An invariant subspace problem for multilinear operators on Banach spaces and algebras
Journal of Inequalities and Applications, 2016 This paper is concerned with the study of invariant subspace problems for nonlinear operators on Banach spaces/algebras. Our study reveals that one faces unprecedented challenges such as lack of vector space structure and unbounded spectral sets when ...
John Emenyu
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