عنوان

Measure and Integral

شابک

9781461245704

شابک

9781461289289

شماره

dltt

عنوان اصلي

Measure and Integral

نام عام مواد

[Book]

ساير اطلاعات عنواني

Volume 1 /

نام نخستين پديدآور

by John L. Kelley, T. P. Srinivasan.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Springer New York,

تاریخ نشرو بخش و غیره

1988.

عنوان فروست

Graduate Texts in Mathematics,

مشخصه جلد

116

شاپا ي ISSN فروست

0072-5285 ;

متن يادداشت

0: Preliminaries -- Sets -- Functions -- Countability -- Orderings and Lattices -- Convergence in ?* -- Unordered Summability -- Hausdorff Maximal Principle -- 1: Pre-Measures -- Supplement: Contents -- Supplement: G Invariant Contents -- Supplement: Carathéodory Pre-Measures -- 2: Pre-Measure to Pre-Integral -- Supplement: Volume ?n;The Iterated Integral -- Supplement: Pre-Integrals on Cc(X) and C0(X) -- 3: Pre-Integral to Integral -- 4: Integral to Measure -- Supplement: Lebesgue Measure ?n for ?n -- Supplement: Measures on B?(X) -- Supplement: G Invariant Measures -- 5: Measurability and ?-Simplicity -- Supplement: Standard Borel Spaces -- 6: The Integral I? on L1(?) -- Supplement: Borel Measures and Positive Functionals -- 7: Integrals* and Products -- Supplement: Borel Product Measure -- 8: Measures* and Mappings -- Supplement: Stieltjes Integration -- Supplement: The Image of ?p Under a Smooth Map 100 Supplement: Maps of Borel Measures*; Convolution -- 9: Signed Measures and Indefinite Integrals -- Supplement: Decomposable Measures -- Supplement: Haar Measure -- 10: Banach Spaces -- Supplement: The Spaces C0(X)* and L1(?)* -- Supplement: Complex Integral and Complex Measure -- Supplement: The Bochner Integral -- Selected References.

بدون عنوان

0

متن يادداشت

This is a systematic exposition of the basic part of the theory of mea sure and integration. The book is intended to be a usable text for students with no previous knowledge of measure theory or Lebesgue integration, but it is also intended to include the results most com monly used in functional analysis. Our two intentions are some what conflicting, and we have attempted a resolution as follows. The main body of the text requires only a first course in analysis as background. It is a study of abstract measures and integrals, and comprises a reasonably complete account of Borel measures and in tegration for R Each chapter is generally followed by one or more supplements. These, comprising over a third of the book, require some what more mathematical background and maturity than the body of the text (in particular, some knowledge of general topology is assumed) and the presentation is a little more brisk and informal. The material presented includes the theory of Borel measures and integration for ~n, the general theory of integration for locally compact Hausdorff spaces, and the first dozen results about invariant measures for groups. Most of the results expounded here are conventional in general character, if not in detail, but the methods are less so. The following brief overview may clarify this assertion.

شماره استاندارد بين المللي کتاب و موسيقي

9781461289289

عنوان

Springer eBooks

موضوع مستند نشده

Global analysis (Mathematics).

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Kelley, John L.

مستند نام اشخاص تاييد نشده

Srinivasan, T. P.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307155400.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y