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Ferro reorganizes into two operating groups


Publisher
Elsevier Science
Year
2009
Weight
58 KB
Volume
2009
Category
Article
ISSN
1364-5439

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Strengthening a theorem of L. G. Kovรกcs and B. H. Neumann on embeddings of countable SN \* -and SI \* -groups into two-generated SN \* -and SI \* -groups, we establish embeddability of fully ordered countable SN-, SN \* -, SI-, and SI \* -groups into appropriate fully ordered two-generated groups of

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We consider products of unitary operators with at most two points in their spectra, 1 and e iฮฑ . We prove that the scalar operator e iฮณ I is a product of k such operators if ฮฑ(1 + 1/(k -3)) ฮณ ฮฑ(k -1 -1/(k -3)) for k 5. Also we prove that for e iฮฑ / = -1, only a countable number of scalar operators c