Geometry of Müntz Spaces and Related Questions By Vladimir I. Gurariy, Wolfgang Lusky
English | PDF | 2005 | 175 Pages | ISBN : 3540288007 | 3.6 MB
Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse.