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Series in Banach Spaces
Kadets, Mikhail I.; Kadets, Vladimir M.
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Description for Series in Banach Spaces
Hardback. The beautiful Riemann theorem states that a series can change its sum after permutation of the terms. This work contains many exercises and unsolved problems as well as an appendix about the problems in vector-valued Riemann integration. It is suitable for graduate students and mathematicians interested in functional analysis. Series: Operator Theory: Advances and Applications. Num Pages: 167 pages, biography. BIC Classification: PBKF; PBM; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 11. Weight in Grams: 930.
Series of scalars, vectors, or functions are among the fundamental objects of mathematical analysis. When the arrangement of the terms is fixed, investigating a series amounts to investigating the sequence of its partial sums. In this case the theory of series is a part of the theory of sequences, which deals with their convergence, asymptotic behavior, etc. The specific character of the theory of series manifests itself when one considers rearrangements (permutations) of the terms of a series, which brings combinatorial considerations into the problems studied. The phenomenon that a numerical series can change its sum when the order of ... Read more
Series of scalars, vectors, or functions are among the fundamental objects of mathematical analysis. When the arrangement of the terms is fixed, investigating a series amounts to investigating the sequence of its partial sums. In this case the theory of series is a part of the theory of sequences, which deals with their convergence, asymptotic behavior, etc. The specific character of the theory of series manifests itself when one considers rearrangements (permutations) of the terms of a series, which brings combinatorial considerations into the problems studied. The phenomenon that a numerical series can change its sum when the order of ... Read more
Product Details
Format
Hardback
Publication date
1997
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
167
Condition
New
Series
Operator Theory: Advances and Applications
Number of Pages
159
Place of Publication
Basel, Switzerland
ISBN
9783764354015
SKU
V9783764354015
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Series in Banach Spaces
“The material in the book is always started with motivation. There are plenty of exercises, with hints for solution. The list of references is complete and up-to-day. This is an amazing book on doctoral level, written by experienced authors, who contributed a lot to the subject presented in the book.” (J.Musielak, zbMATH, 0876.46009, 1997)