Open Geometry

At once a programming course that emphasises object-oriented thinking as well as a well-documented, versatile, and robust geometry library.

Authors: Guirao, Antonio J., Montesinos, Vicente, Zizler, Václav
Provides an invaluable survey of open problems for mathematicians developing MSc and PhD theses in Banach space theory
Presents a selection of open problems, encompassing the longstanding as well as the recent; the general and the more localized
Includes a comprehensive index listing featured problems by subject, concept, and symbols

This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, fixed points, topology and nonlinear geometry.