Results 31 to 40 of about 6,185,996 (263)

POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2015
The general approach to Voronovskaya theorems about the rate of convergence of linear operators sequence to the functions of some classes is considered. These theorems are proved with the help of a functional which in many concrete situations may have a ...
Yury Abakumov, Victor Banin
doaj   +1 more source

Pareto vectors of continuous linear operators

open access: yesJournal of Inequalities and Applications, 2023
The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology is the trivial topology.
Francisco Javier GarcĂ­a-Pacheco
doaj   +1 more source

Theoretical foundations of functional data analysis, with an introduction to linear operators

open access: yes, 2015
Description: Functional data is data in the form of curves that is becoming a popular method for interpreting scientific data. Statistical Analysis of Functional Data provides an authoritative account of function data analysis covering its foundations ...

semanticscholar   +1 more source

Study on the q-analogue of a certain family of linear operators

open access: yesTurkish Journal of Mathematics, 2019
Inthispaper, weintroducetheq-analogueofacertainfamilyoflinearoperatorsingeometricfunctiontheory. Our main purpose is to define some subclasses of analytic functions by means of the q-analogue of linear operators and investigate various inclusion ...
Shujaat Ali Shah, K. Noor
semanticscholar   +1 more source

Spectral analysis for a class of bounded linear operators [PDF]

open access: yesarXiv, 2022
We study the Spectral Analysis for a class of bounded linear operators T = D + F in a non Archimedean Hilbert space E, where D is a diagonal linear operator and where F is a finite rank linear operator. In this study of the Spectral Analysis, we use extensively the Theory of Fredholm Operators to deduce some of our main results.
arxiv  

About Some Linear Operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
Using the method of Jakimovski and Leviatan from their work in 1969, we construct a general class of linear positive operators. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness and we give a
Ovidiu T. Pop
doaj   +1 more source

On some geometric properties of operator spaces

open access: yes, 2018
In this paper we study some geometric properties like parallelism, orthogonality and semi-rotundity in the space of bounded linear operators. We completely characterize parallelism of two compact linear operators between normed linear spaces $\mathbb{X} $
Mal, Arpita   +2 more
core   +1 more source

Dynamics of unbounded linear operators [PDF]

open access: yesarXiv, 2023
We apply the well-known and also the newly introduced notions from bounded linear dynamics to unbounded linear operators. We present a hypermixing criterion similar to that given for bounded linear operators and then we show that the derivative operator in $H^2$, the Laplacian operator in $L^2(\Omega)$, and all unbounded weighted translations in $L_p(0,
arxiv  

A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space

open access: yes, 2018
In this paper, we study Birkhoff-James orthogonality of bounded linear operators and give a complete characterization of Birkhoff-James orthogonality of bounded linear operators on infinite dimensional real normed linear spaces.
Mal, Arpita   +2 more
core   +1 more source

On Symmetry of Birkhoff-James Orthogonality of Linear Operators on Finite-dimensional Real Banach Spaces [PDF]

open access: yes, 2016
We characterize left symmetric linear operators on a finite dimensional strictly convex and smooth real normed linear space $ \mathbb{X},$ which answers a question raised recently by one of the authors in \cite{S} [D.
D. Sain, Puja Ghosh, K. Paul
semanticscholar   +1 more source

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