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VOL. 29 | 1992 Non isomorphism of the disc algebra with spaces of differentiable functions

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.

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