Spectral synthesis and masa-bimodules

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Generalizing a result of Arveson on finite width CSL algebras, we prove that finite width masa-bimodules satisfy spectral synthesis. Introducing a new class of masa-bimodules, we show that there exists a non-synthetic masa-bimodule, such that the maximal algebras over which it is a bimodule, are synthetic.
16 pages

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Operator Algebras, Functional Analysis, 47L05; 47L35

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http://salesiana.dossiersoluciones.com/handle/123456789/63364

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202170
 http://arxiv.org/abs/math/0202170

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arXiv