Results 231 to 240 of about 5,092,236 (288)

Function Spaces and Banach Spaces [PDF]

, 1965
The theory of integration developed in Chapter Three enables us to define certain spaces of functions that have remarkable properties and are of enormous importance in analysis as well as in its applications. We have already, in § 7, considered spaces whose points are functions. In §7, we considered only the uniform norm ∥ ∥ u [see (7.3)] to define the
Karl R. Stromberg, Edwin Hewitt
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Classical Banach spaces

, 1973
Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant.
J. Lindenstrauss, L. Tzafriri
semanticscholar   +1 more source

A survey on Lipschitz-free Banach Spaces

, 2016
This article is a survey of Lipschitz\dywiz free Banach spaces and recent progress in the understanding of their structure. The results we present have been obtained in the last fifteen years (and quite often in the last five years). We give a self\dywiz
G. Godefroy
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Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

, 1976
This paper gives a survey over some of the most important methods and results of nonlinear functional analysis in ordered Banach spaces. By means of iterative techniques and by using topological tools, fixed point theorems for completely continuous maps ...
H. Amann
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Hardy spaces for ball quasi-Banach function spaces

, 2017
This article unifies the theory for Hardy spaces built on Banach lattices on R-n satisfying certain weak conditions on indicator functions of balls. The authors introduce a new family of function spaces, named the ball quasi-Banach function spaces, to ...
Y. Sawano, K. Ho, Dachun Yang, Sibei Yang   +3 more
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Banach Spaces and Banach Lattices

2016
We shall now give some background in the theory of normed and Banach spaces, including the key definitions of dual and bidual spaces and of an isomorphism and an isometric isomorphism between two normed spaces. In particular, we shall show how certain bidual spaces can be embedded in other Banach spaces.
Dona Strauss, Anthony To-Ming Lau, H. G. Dales, F. K. Dashiell   +3 more
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Nonlinear Functional Analysis in Banach Spaces and Banach Algebras : Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications

, 2015
Fixed Point Theory Fundamentals Basic Tools in Banach Spaces Contraction Mappings Weak Topology Measure of Weak Noncompactness (MNWC) Basic Tools in Banach Algebras Elementary Fixed Point Theorems Positivity and Cones Fixed Point Theory under Weak ...
A. Jeribi, Bilel Krichen
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Smooth analysis in Banach spaces

, 2014
This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and
P. Hájek, M. Johanis
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Analysis in Banach Spaces

Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 2023
T. Hytönen, L. Weis, J. Neerven, M. Veraar   +3 more
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