Heisenberg-Lie commutation relations in Banach algebras.

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Heisenberg-Lie commutation relations in Banach algebras. / Laustsen, Niels Jakob; Silvestrov, Sergei D.
In: Mathematical Proceedings of the Royal Irish Academy, Vol. 109, No. 2, 2009, p. 163-186.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Laustsen, NJ & Silvestrov, SD 2009, 'Heisenberg-Lie commutation relations in Banach algebras.', Mathematical Proceedings of the Royal Irish Academy, vol. 109, no. 2, pp. 163-186. <http://www.ria.ie/publications/journals/journaldb/index.asp?select=abstract&id=100849>

APA

Laustsen, N. J., & Silvestrov, S. D. (2009). Heisenberg-Lie commutation relations in Banach algebras. Mathematical Proceedings of the Royal Irish Academy, 109(2), 163-186. http://www.ria.ie/publications/journals/journaldb/index.asp?select=abstract&id=100849

Vancouver

Laustsen NJ, Silvestrov SD. Heisenberg-Lie commutation relations in Banach algebras. Mathematical Proceedings of the Royal Irish Academy. 2009;109(2):163-186.

Author

Laustsen, Niels Jakob ; Silvestrov, Sergei D. / Heisenberg-Lie commutation relations in Banach algebras. In: Mathematical Proceedings of the Royal Irish Academy. 2009 ; Vol. 109, No. 2. pp. 163-186.

Bibtex

@article{06c993d15c2e4fc2b2678827d4ca1d9e,

title = "Heisenberg-Lie commutation relations in Banach algebras.",

abstract = "Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific sense:",

keywords = "Heisenberg-Lie commutation relations, Banach algebra, Banach *-algebra, C*-algebra, weighted shift operator",

author = "Laustsen, {Niels Jakob} and Silvestrov, {Sergei D.}",

year = "2009",

language = "English",

volume = "109",

pages = "163--186",

journal = "Mathematical Proceedings of the Royal Irish Academy",

issn = "1393-7197",

publisher = "Royal Irish Academy",

number = "2",

}

RIS

TY - JOUR

T1 - Heisenberg-Lie commutation relations in Banach algebras.

AU - Laustsen, Niels Jakob

AU - Silvestrov, Sergei D.

PY - 2009

Y1 - 2009

N2 - Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific sense:

AB - Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific sense:

KW - Heisenberg-Lie commutation relations

KW - Banach algebra

KW - Banach -algebra

KW - C-algebra

KW - weighted shift operator

M3 - Journal article

VL - 109

SP - 163

EP - 186

JO - Mathematical Proceedings of the Royal Irish Academy

JF - Mathematical Proceedings of the Royal Irish Academy

SN - 1393-7197

IS - 2

ER -

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