Abstract
It is proved that the Disc Algebra does not contain a complemented subspace isomorphic to the space $C_{(k)}(T^d) of $k$ times continuously differentiable functions on the $d$-dimensional torus $(k = 1,2,...; d = 2,3,...)$.
Information
Published: 1 January 1992
First available in Project Euclid: 18 November 2014
zbMATH: 0796.46013
MathSciNet: MR1188895
Rights: Copyright © 1992, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
