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Rearrangements of Series in Banach Spaces
Kadets, Vladimir M.; Kadets, Mikhail I.
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Description for Rearrangements of Series in Banach Spaces
Hardback. A close connection has been discovered between the theory of series and the so-called finite properties of Banach spaces, making it possible to create a unified theory from the numerous separate results. This book features such a unified exposition. Series: Translations of Mathematical Monographs. Num Pages: 122 pages. BIC Classification: PBK; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230. Weight in Grams: 454.
In a contemporary course in mathematical analysis, the concept of series arises as a natural generalization of the concept of a sum over finitely many elements, and the simplest properties of finite sums carry over to infinite series. Standing as an exception among these properties is the commutative law, for the sum of a series can change as a result of a rearrangement of its terms. This raises two central questions: for which series is the commutative law valid, and just how can a series change upon rearrangement of its terms? Both questions have been answered for all finite-dimensional spaces, ... Read more
In a contemporary course in mathematical analysis, the concept of series arises as a natural generalization of the concept of a sum over finitely many elements, and the simplest properties of finite sums carry over to infinite series. Standing as an exception among these properties is the commutative law, for the sum of a series can change as a result of a rearrangement of its terms. This raises two central questions: for which series is the commutative law valid, and just how can a series change upon rearrangement of its terms? Both questions have been answered for all finite-dimensional spaces, ... Read more
Product Details
Format
Hardback
Publication date
1991
Publisher
American Mathematical Society United States
Number of pages
122
Condition
New
Series
Translations of Mathematical Monographs
Number of Pages
122
Place of Publication
Providence, United States
ISBN
9780821845462
SKU
V9780821845462
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
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