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Constructing an operator from a complete and minimal set

Published online by Cambridge University Press:  12 July 2007

Jiban Nath
Jiban Nath
Affiliation:
Department of Mathematics, King's College London, Strand, London WC2R 2LS, UK ([email protected])
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Abstract

Let be a complete and minimal set in a Hilbert space X, which is not an unconditional basis. Then there exists an operator that is densely defined on X, does not have a good spectral behaviour and all the vectors {ei} are its eigenvectors.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 3 , June 2003 , pp. 653 - 663
Copyright
Copyright © Royal Society of Edinburgh 2003

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