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Two remarks on the Franklin system

Published online by Cambridge University Press:  20 January 2009

P. Wojtaszczyk
P. Wojtaszczyk
Affiliation:
Institut of Mathematics, Polish Academy of Sciences, Warsaw, Poland, and St. John's College, Cambridge
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The aim of this note is to present two observations about the classical Franklin system. First we show that the Franklin system, when considered in the space generated by special atoms (as defined and studied by Soares de Souza in [11] and ]12]) is an unconditional basis equivalent to the unit vector basis in l1. In our second result we give conceptually simpler proofs and some extensions of the results of Bočkariov's [1] about the conjugate Franklin system.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 29 , Issue 3 , October 1986 , pp. 329 - 333
Copyright
Copyright © Edinburgh Mathematical Society 1986

References

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