Smooth Analysis in Banach Spaces

Hajek and Johanis lay down the foundations for the abstract theory of Ck-smoothness in infinite-dimensional real Banach spaces, and investigate its intimate connections with the structural properties of the underlying spaces. They include most of the needed auxiliary results (without proofs) in the form of short survey paragraphs, or sometimes whole sections, that form an integral part of the text, so readers do not have to jump to an appendix or another book. Annotation c2015 Ringgold, Inc., Portland, OR (protoview.com)

Petr Hajek, Academy of Sciences of the Czech Republic, Prague, Czech Republic;Michal Johanis,Charles University, Prague, Czech Republic.