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Rearrangements of Series in Banach Spaces (Translations of Mathematical Monographs) by V. M. Kadets and M. I. Kadets is a nonfiction available to read on EtoBox.

What is Rearrangements of Series in Banach Spaces (Translations of Mathematical Monographs) about?

<p>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, but the study of rearrangements of a series in an infinite-dimensional space continues to this day. In recent years, 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 is the first attempt at such a unified exposition. This book would be an ideal textbook for advanced courses, for it requires background only at the level of standard courses in mathematical analysis and linear algebra and some familiarity with elementary concep

Who reads Rearrangements of Series in Banach Spaces (Translations of Mathematical Monographs)?

Author

V. M. Kadets and M. I. Kadets

Publisher

American Mathematical Society

Published

1991

Language

EN

ISBN

9780821845462

Category

nonfiction

Subjects

Mathematics, Stem