One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us the feeling of familiarity and concreteness, and perhaps a chance to attempt the classification of all Banach spaces and other problems.
The main goals of this book are to:
introduce the reader to some of the basic concepts, results and applications of biorthogonal systems in infinite dimensional geometry of Banach spaces, and in topology and nonlinear analysis in Banach spaces;
to do so in a manner accessible to graduate students and...
One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us the feeling of fam...
One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us the feeling of familiarity and concreteness, and perhaps a chance to attempt the classification of all Banach spaces and other problems.
The main goals of this book are to:
introduce the reader to some of the basic concepts, results and applications of biorthogonal systems in infinite dimensional geometry of Banach spaces, and in topology and nonlinear analysis in Banach spaces;
to do so in a manner accessible to graduate students and...
One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us the feeling of fam...