Results 221 to 230 of about 92,536 (264)

Products and factors of Banach function spaces [PDF]

open access: yesPositivity, 2009
Given two Banach function spaces we study the pointwise product space E.F, especially for the case that the pointwise product of their unit balls is again convex. We then give conditions on when the pointwise product E . M(E, F)=F, where M(E,F) denotes the space of multiplication operators from E into F.
Anton R Schep
exaly   +4 more sources

Integration of Functions in a Banach Space

National Mathematics Magazine, 1945
Vereinfachung der Konstruktion des Birkhoffschen und eines Princeschen Integrals für Funktionen, deren Werte in einem Banachschen Raum liegen.
openaire   +2 more sources

Function Spaces and Banach Spaces

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
Edwin Hewitt, Karl Stromberg
openaire   +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.
Choonkil Park   +2 more
openaire   +1 more source

Banach Spaces of Continuous Functions

The Annals of Mathematics, 1948
If X is any topological space, let B(X) be the space of real bounded continuous functions on X, made into a Banach space by the usual norm II b I = supZExIb(x) 1. According to the Banach-Stone Theorem (see [2], [7], [3],),' if X is compact2 B(X) determines the topology of X, in the sense that if B(X1) is equivalent to B(X2) for compact Xi and X2 then ...
openaire   +2 more sources

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