It takes the average reader 5 hours and 4 minutes to read Abstract Duality Pairs in Analysis by Charles Swartz
Assuming a reading speed of 250 words per minute. Learn more
The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz-Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach-Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali-Hahn-Saks Theorem from measure theory and the Hahn-Schur Theorem from summability. There are no books on the current market which cover the material in this book. Readers will find interesting functional analysis and the many applications to various topics in real analysis.
Abstract Duality Pairs in Analysis by Charles Swartz is 302 pages long, and a total of 76,104 words.
This makes it 102% the length of the average book. It also has 93% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 55 minutes to read Abstract Duality Pairs in Analysis aloud.
Abstract Duality Pairs in Analysis is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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