Unitary point spectrum of almost unitary operators
β Scribed by N. G. Makarov
- Publisher
- Springer US
- Year
- 1984
- Tongue
- English
- Weight
- 238 KB
- Volume
- 27
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
## Abstract For a bicontractive operator __T__ on a KreΔ space the connections between its eigenvalues and eigenstructure and the eigenvalues and eigenstructure of its minimal unitary dilation __U__ are studied. For eigenvalues on the unit circle of __T__ in general only part of the eigenspace of _
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