A peculiarity of the creation operator
Published online by Cambridge University Press: 18 July 2002
Extract
It is shown that the creation operator is the only (up to a multiplicative constant) injective weighted shift all of whose translations (or at least one) are still injective weighted shifts regardless of what the weight sequences and the bases are. A similar result is true for the annihilation operator as well as for the Heisenberg and Schrödinger couples.
- Type
- Research Article
- Information
- Copyright
- 2002 Glasgow Mathematical Journal Trust
Footnotes
- 6
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