Biorthogonal Systems in Banach Spaces

Angebote / Angebote:

The main theme of this book is the relation between the global structureof Banach spaces and the various types of generalized "coordinatesystems" - or "bases" - they possess.  This subject is not new and hasbeen investigated since the inception of the study of Banach spaces.  Inthis book, the authors systematically investigate the concepts ofMarkushevich bases, fundamental systems, total systems and theirvariants. The material naturally splits into the case of separableBanach spaces, as is treated in the first two chapters, and thenonseparable case, which is covered in the remainder of the book.  Thisbook contains new results, and a substantial portion of this materialhas never before appeared in book form.  The book will be of interest toboth researchers and graduate students. Topics covered in this book include: - Biorthogonal Systems in Separable Banach Spaces- Universality and Szlenk Index- Weak Topologies and Renormings- Biorthogonal Systems in Nonseparable Spaces- Transfinite Sequence Spaces- Applications Petr Hájek is Professor of Mathematics at the Mathematical Institute ofthe Academy of Sciences of the Czech Republic.  Vicente Montesinos isProfessor of Mathematics at the Polytechnic University ofValencia, Spain.  Jon Vanderwerff is Professor of Mathematics at LaSierra University, in Riverside, California.  Václav Zizler is Professorof Mathematics at the Mathematical Institute of the Academy of Sciencesof the Czech Republic.