𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Scalar operators equal to the product of unitary roots of the identity operator

✍ Scribed by Yu. S. Samoilenko, D. Yu. Yakimenko


Book ID
118811688
Publisher
Springer
Year
2012
Tongue
English
Weight
184 KB
Volume
64
Category
Article
ISSN
0041-5995

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Decomposition of a scalar operator into
✍ Sergio Albeverio; Slavik Rabanovich πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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