On Subspaces of Measurable Real Functions
- UNCP Author/Contributor (non-UNCP co-authors, if there are any, appear on document)
- Dr. Laszlo Zsilinszky, Professor (Creator)
- Institution
- The University of North Carolina at Pembroke (UNCP )
- Web Site: http://www.uncp.edu/academics/library
Abstract: Let (X, S, µ) be a measure space. Let F : IR ? IR be a continuous function. Topological properties of the space of all measurable real functions f such that F ? f is Lebesgue-integrable are investigated in the space of measurable real functions endowed with the topology of convergence in measure.
On Subspaces of Measurable Real Functions
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Created on 11/1/2017
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Additional Information
- Publication
- Portugaliae Mathematica Vol. 52, Issue 2
- Language: English
- Date: 1995
- Keywords
- Convergence in measure, Baire category, Lp spaces.