The algebras of bounded and essentially bounded Lebesgue measurable functions
Sign Up to like & getrecommendations! Published in 2017 at "Demonstratio Mathematica"
DOI: 10.1515/dema-2017-0010
Abstract: Abstract 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… read more here.
Keywords: measurable functions; extremely disconnected; essentially bounded; topology ... See more keywords
Entire Symmetric Functions on the Space of Essentially Bounded Integrable Functions on the Union of Lebesgue-Rohlin Spaces
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11090460
Abstract: The class of measure spaces which can be represented as unions of Lebesgue-Rohlin spaces with continuous measures contains a lot of important examples, such as Rn for any n∈N with the Lebesgue measure. In this… read more here.
Keywords: symmetric functions; lebesgue rohlin; complex valued; entire symmetric ... See more keywords