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Metric Embeddings: Bilipschitz and Coarse Embeddings into Banach Spaces

, 2013
Embeddings of discrete metric spaces into Banach spaces recently became an important tool in computer science and topology. The book will help readers to enter and to work in this very rapidly developing area having many important connections with ...

semanticscholar   +1 more source

Regularization Methods in Banach Spaces

Radon Series on Computational and Applied Mathematics, 2012
Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Usually the mathematical model of an inverse problem consists of an operator equation of the first kind and often the ...
T. Schuster   +3 more
semanticscholar   +1 more source

Stochastic Integration in Banach Spaces - a Survey

, 2013
This paper presents a brief survey of the theory of stochastic integration in Banach spaces. Expositions of the stochastic integrals in martingale type 2 spaces and UMD spaces are presented, as well as some applications of the latter to vector-valued ...
J. Neerven, M. Veraar, L. Weis
semanticscholar   +1 more source

Banach Spaces

A Primer on Hilbert Space Theory, 2021
C. Alabiso, Ittay Weiss
semanticscholar   +1 more source

Banach Spaces

Fundamentals of Mathematical Analysis
The first four sections of this chapter form its core and include classical topics such as bounded linear transformations, the open mapping theorem, the closed graph theorem, the uniform boundedness principle, and the Hahn-Banach theorem.
Adel Boules
semanticscholar   +1 more source

Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces

2016
This paper is a survey on the Hyers–Ulam stability of additive functional inequalities, quadratic functional inequalities, additive ρ-functional inequalities, and quadratic ρ-functional inequalities in Banach spaces and fuzzy Banach spaces. Its content is divided into the following sections: 1. Introduction and Preliminaries.
Themistocles M. Rassias   +2 more
openaire   +2 more sources

Banach Spaces

A Course in Analysis, 2020

semanticscholar   +1 more source

A New Double-Projection Method for Solving Variational Inequalities in Banach Spaces

Journal of Optimization Theory and Applications, 2018
G. Cai, A. Gibali, O. Iyiola, Y. Shehu
semanticscholar   +1 more source

Banach and Hilbert Spaces

1977
This chapter supplies the functional analytic material required for our study of existence of solutions of linear elliptic equations in Chapters 6 and 8. This material will be familiar to a reader already versed in basic functional analysis but we shall assume some acquaintance with elementary linear algebra and the theory of metric spaces.
Neil S. Trudinger, David Gilbarg
openaire   +2 more sources

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