Essentials of Measure Theory

Carlos S. Kubrusly is currently a professor in the electrical engineering department at the Catholic University of Rio de Janeiro. His current area of research is in operator theory and functional analysis. Over the years, the results of his Work have been published in over 40 journals, 6 monographs/textbooks, and 2 contributed volumes. From 1992-1998 Carlos Kubrusly was the editor-in-chief of the Computational and Applied Mathematics journal which was then co-published with Birkhauser Boston.

• Preface.- Part I. Introduction to Measure and Integration.-1. Measurable Functions.- 2. Measure on a σ-Algebra.- 3. Integral of Nonnegative Functions.- 4. Integral of Real-Valued Functions.- 5. Banach Spaces Lp.- 6. Convergence of Functions.- 7. Decomposition of Measures.- 8. Extension of Measures.- 9. Product Measures.- Part II.- 10. Remarks on Integrals.- 11. Borel Measure.- 12. Representation Theorems.- 13. Invariant Measures.- References.- Index.

"The advantage of the book is also that important notions of the theory are considered very carefully and in detail with all sides. It is useful for students." (Ivan Podvigin, zbMATH 1347.28001, 2016)