Decomposition of a scalar operator into
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Sergio Albeverio; Slavik Rabanovich
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Article
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2010
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Elsevier Science
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English
β 220 KB
We consider products of unitary operators with at most two points in their spectra, 1 and e iΞ± . We prove that the scalar operator e iΞ³ I is a product of k such operators if Ξ±(1 + 1/(k -3)) Ξ³ Ξ±(k -1 -1/(k -3)) for k 5. Also we prove that for e iΞ± / = -1, only a countable number of scalar operators c