Spectral synthesis and masa-bimodules
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- February 2002
- DOI:
- 10.48550/arXiv.math/0202170
- arXiv:
- arXiv:math/0202170
- Bibcode:
- 2002math......2170T
- Keywords:
-
- Operator Algebras;
- Functional Analysis;
- 47L05;
- 47L35
- E-Print:
- 16 pages