Functional Operators (AM-21), Volume 1: Measures and Integrals. (AM-21)

Published by Princeton University Press 1950

Functional Operators (AM-21), Volume 1

Volume 21 in the series Annals of Mathematics Studies

Geometry of orthogonal spaces.

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

Language: English
Publisher: Princeton University Press
Copyright year: 1950
Audience: Professional and scholarly;College/higher education;
Pages
- Main content: 272
Keywords: Operator theory; Notation; Antiderivative; Sign (mathematics); John von Neumann; Ambiguity

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