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BLOCK STRONG M-BASES AND SPECTRAL SYNTHESIS

Published online by Cambridge University Press:  01 February 1998

J. A. ERDOS ,
M. S. LAMBROU  and
N. K. SPANOUDAKIS
J. A. ERDOS
Affiliation:
Department of Mathematics, King's College, London WC2R 2LS. E-mail: [email protected]
M. S. LAMBROU
Affiliation:
Department of Mathematics, University of Crete, PO Box 1470, 71409 Iraklion, Crete, Greece. E-mail: [email protected]; E-mail: [email protected]
N. K. SPANOUDAKIS
Affiliation:
Department of Mathematics, University of Crete, PO Box 1470, 71409 Iraklion, Crete, Greece. E-mail: [email protected]; E-mail: [email protected]
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Abstract

The selection problem for strong M-bases is shown to have a negative solution in Hilbert space. The constructions are used to demonstrate that spectral synthesis for compact operators is not preserved by inflation. The results show that a number of statements in the literature are incorrect.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 57 , Issue 1 , February 1998 , pp. 183 - 195
Copyright
The London Mathematical Society 1998

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