Abstract
The Wielandt—Wintner Theorem states impossibility to write nonzero scalar multiple of the identity operator on some complex Banach space X as the commutator of two bounded operators on X. In what follows we give some extensions of this result in which we consider the representations of the canonical commutation relations in some fixed non zero point of X.
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© 2001 Springer Basel AG
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Şabac, M. (2001). Localization of the Wielandt—Wintner Theorem. In: Kérchy, L., Gohberg, I., Foias, C.I., Langer, H. (eds) Recent Advances in Operator Theory and Related Topics. Operator Theory: Advances and Applications, vol 127. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8374-0_30
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DOI: https://doi.org/10.1007/978-3-0348-8374-0_30
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9539-2
Online ISBN: 978-3-0348-8374-0
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