Results 151 to 160 of about 2,539 (196)

Additivity and Chain Rules for Quantum Entropies via Multi-index Schatten Norms. [PDF]

open access: yesCommun Math Phys
Fawzi O   +3 more
europepmc   +1 more source

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.
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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
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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
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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 ...
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On local fractal functions in banach spaces

AIP Conference Proceedings, 2015
We give a short introduction to local fractal functions defined on several classes of Banach spaces. The emphasis is on the Banach space of bounded functions B, the Lebesgue spaces Lp, 1 ≤ p ≤ ∞, and the Sobolev spaces Wn,p, n ∈ N0and 1 ≤ p ≤ ∞.
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Banach function spaces

2004
Classical function spaces, such as those of Lebesgue and Sobolev type, have played and continue to play a most important role in Analysis. With the passage of time, questions have naturally arisen which for their complete solution require scales of spaces more finely tuned than these famous predecessors. One of the ways of meeting this need is by means
David E. Edmunds, W. Desmond Evans
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