| 000 -LEADER |
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| fixed length control field |
02348nam a22002657a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20241025114540.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
190404b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461381556 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
Tata Book House |
| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA320 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
A. A. Kirillov |
| 245 ## - TITLE STATEMENT |
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| Title |
Theorems and problems in functional analysis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
New York: |
| Name of publisher, distributor, etc. |
Springer-Verlag, |
| Date of publication, distribution, etc. |
[c1982] |
| 300 ## - Physical Description |
|---|
| Pages: |
347 p. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Problem Books in Mathematics |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Chapter 1. Concepts from Set Theory and Topology<br/>Chapter 2. Theory of Measures and Integrals<br/>Chapter 3. Linear Topological Spaces and Linear Operators<br/>Chapter 4. The Fourier Transformation and Elements of Harmonic Analysis<br/>Chapter 5. The Spectral Theory of Operators<br/> |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
The algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures.---Summary provided by publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
A. D. Gvishiani |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Translated by Harold H.McFaden |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Edited by P.R Halmous |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/978-1-4613-8153-2#toc">https://link.springer.com/book/10.1007/978-1-4613-8153-2#toc</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Koha item type |
Book |
