Open Access
VOL. 24 | 1990 An example in the theory of spectral and well-bounded operators
Ian Doust

Editor(s) Ian Doust, Brian Jefferies, Alan McIntosh

Proc. Centre Math. Appl., 1990: 83-90 (1990)


An example is given of a linear transformation which defines a wellbounded operator on $L^p[O, 1] for 1 \leq p \leq \infty$. It is shown that the properties of the decomposition of the identity associated with this operator (and consequently the type of functional calculus that the operator admits) vary markedly depending on the domain space.


Published: 1 January 1990
First available in Project Euclid: 18 November 2014

zbMATH: 0718.47018
MathSciNet: MR1060113

Rights: Copyright © 1990, 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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