CHAPTER IX. MONOTONIC FUNCTIONS

John von Neumann

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CHAPTER IX. MONOTONIC FUNCTIONS

John von Neumann

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Ein Kapitel aus dem Buch Functional Operators, Volume 1

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von Neumann, John. "CHAPTER IX. MONOTONIC FUNCTIONS". Functional Operators, Volume 1: Measures and Integrals. (AM-21), Princeton: Princeton University Press, 1950, pp. 63-82. https://doi.org/10.1515/9781400881895-010

von Neumann, J. (1950). CHAPTER IX. MONOTONIC FUNCTIONS. In Functional Operators, Volume 1: Measures and Integrals. (AM-21) (pp. 63-82). Princeton: Princeton University Press. https://doi.org/10.1515/9781400881895-010

von Neumann, J. 1950. CHAPTER IX. MONOTONIC FUNCTIONS. Functional Operators, Volume 1: Measures and Integrals. (AM-21). Princeton: Princeton University Press, pp. 63-82. https://doi.org/10.1515/9781400881895-010

von Neumann, John. "CHAPTER IX. MONOTONIC FUNCTIONS" In Functional Operators, Volume 1: Measures and Integrals. (AM-21), 63-82. Princeton: Princeton University Press, 1950. https://doi.org/10.1515/9781400881895-010

von Neumann J. CHAPTER IX. MONOTONIC FUNCTIONS. In: Functional Operators, Volume 1: Measures and Integrals. (AM-21). Princeton: Princeton University Press; 1950. p.63-82. https://doi.org/10.1515/9781400881895-010

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Kapitel in diesem Buch

Frontmatter i
FOREWORD v
CHAPTER I . POINT SET THEORY 1
CHAPTER II . OUTER MEASURE 12
CHAPTER III. MEASURE 15
CHAPTER IV. INNER MEASURE 24
CHAPTER V. INVARIANCE OF MEASURE UNDER.TRANSFORMATIONS 27
CHAPTER VI. COVERING THEOREMS 32
CHAPTER VII. NON-MEASURABLE SETS 38
CHAPTER VIII. LEBESGUE INTEGRAL 42
CHAPTER IX. MONOTONIC FUNCTIONS 63
CHAPTER X. GENERAL MEASURE FUNCTIONS AND OUTER MEASURES 83
CHAPTER XI. PROPERTIES OF THE GENERAL INTEGRAL 174

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https://doi.org/10.1515/9781400881895-010

Kapitel in diesem Buch

Frontmatter i
FOREWORD v
CHAPTER I . POINT SET THEORY 1
CHAPTER II . OUTER MEASURE 12
CHAPTER III. MEASURE 15
CHAPTER IV. INNER MEASURE 24
CHAPTER V. INVARIANCE OF MEASURE UNDER.TRANSFORMATIONS 27
CHAPTER VI. COVERING THEOREMS 32
CHAPTER VII. NON-MEASURABLE SETS 38
CHAPTER VIII. LEBESGUE INTEGRAL 42
CHAPTER IX. MONOTONIC FUNCTIONS 63
CHAPTER X. GENERAL MEASURE FUNCTIONS AND OUTER MEASURES 83
CHAPTER XI. PROPERTIES OF THE GENERAL INTEGRAL 174

CHAPTER IX. MONOTONIC FUNCTIONS

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