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Decomposition of a dissipative operator with an imaginary kernel component into unicellular operators

โœ Scribed by M. S. Brodskii


Book ID
105060655
Publisher
Springer US
Year
1969
Tongue
English
Weight
152 KB
Volume
2
Category
Article
ISSN
0016-2663

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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