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Homological Methods in Banach Space Theory (Hardcover)
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Homological Methods in Banach Space Theory (Hardcover)
Series: Cambridge Studies in Advanced Mathematics
Expected to ship within 12 - 17 working days
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Many researchers in geometric functional analysis are unaware of
algebraic aspects of the subject and the advances they have
permitted in the last half century. This book, written by two world
experts on homological methods in Banach space theory, gives
functional analysts a new perspective on their field and new tools
to tackle its problems. All techniques and constructions from
homological algebra and category theory are introduced from scratch
and illustrated with concrete examples at varying levels of
sophistication. These techniques are then used to present both
important classical results and powerful advances from recent
years. Finally, the authors apply them to solve many old and new
problems in the theory of (quasi-) Banach spaces and outline new
lines of research. Containing a lot of material unavailable
elsewhere in the literature, this book is the definitive resource
for functional analysts who want to know what homological algebra
can do for them.
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