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Problem of the triangular representation of operators with a unitary spectrum

โœ Scribed by N. I. Baranov


Publisher
Springer US
Year
1990
Tongue
English
Weight
204 KB
Volume
48
Category
Article
ISSN
1573-8795

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Decomposition of a scalar operator into
โœ Sergio Albeverio; Slavik Rabanovich ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 220 KB

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