The algebras of bounded and essentially bounded Lebesgue measurable functions

Let X be a set in ℝn with positive Lebesgue measure. It is well known that the spectrum of the algebra L∞(X) of (equivalence classes) of essentially bounded, complex-valued, measurable functions on X is an extremely disconnected compact Hausdorff space.We show, by elementary methods, that the spectr...

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Bibliographic Details
Main Authors: Mortini Raymond, Rupp Rudolf
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0010/dema-2017-0010.xml?format=INT