Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Fubini’s theorem for Daniell integrals
View through CrossRef
AbstractWe show that in the theory of Daniell integration iterated integrals may always be formed, and the order of integration may always be interchanged. By this means, we discuss product integrals and show that the related Fubini theorem holds in full generality. The results build on a density theorem on Riesz tensor products due to Fremlin, and on the Fubini–Stone theorem.
Title: Fubini’s theorem for Daniell integrals
Description:
AbstractWe show that in the theory of Daniell integration iterated integrals may always be formed, and the order of integration may always be interchanged.
By this means, we discuss product integrals and show that the related Fubini theorem holds in full generality.
The results build on a density theorem on Riesz tensor products due to Fremlin, and on the Fubini–Stone theorem.
Related Results
Goedel's Theorem and Mechanism
Goedel's Theorem and Mechanism
In “Minds, Machines, and Gödel”, J. R. Lucas claims that Goedel's incompleteness theorem constitutes a proof “that Mechanism is false, that is, that minds cannot be explained as ma...
The unreasonable effectiveness of Nonstandard Analysis
The unreasonable effectiveness of Nonstandard Analysis
Abstract
As suggested by the title, the aim of this paper is to uncover the vast computational content of classical Nonstandard Analysis. To this end, we formulate a...
Reeh-Schlieder Defeats Newton-Wigner: On Alternative Localization Schemes in Relativistic Quantum Field Theory
Reeh-Schlieder Defeats Newton-Wigner: On Alternative Localization Schemes in Relativistic Quantum Field Theory
Many of the “counterintuitive” features of relativistic quantum field theory have their formal root in the Reeh-Schlieder theorem, which in particular entails that local operations...
Comparison of modelled seismic loss against historical damage information
Comparison of modelled seismic loss against historical damage information
<p>The increasing loss of human life and property due to earthquakes in past years have increased the demand for seismic risk analysis for people to be better prepare...
Acoustical Methods in Supersonic Aerodynamics
Acoustical Methods in Supersonic Aerodynamics
The paper illustrates certain techniques common to acoustics and supersonic aerodynamics. The basic equations describing hydrodynamical phenomena taking place in a supersonic, invi...
Meteorological Essays and Observations
Meteorological Essays and Observations
By the early nineteenth century, meteorologists were equipped with plenty of useful devices: barometers, thermometers, hygrometers, and any number of variations thereon. But the na...
Daniell method for power spectral density estimation in atomic force microscopy
Daniell method for power spectral density estimation in atomic force microscopy
An alternative method for power spectral density (PSD) estimation—the Daniell method—is revisited and compared to the most prevalent method used in the field of atomic force micros...
On bad groups, bad fields, and pseudoplanes
On bad groups, bad fields, and pseudoplanes
Cherlin introduced the concept of bad groups (of finite Morley rank) in [Ch1]. The existence of such groups is an open question. If they exist, they will contradict the Cherlin-Zil...