Jordan-Schwinger representations and factorised Yang-Baxter operators.
Karakhanyan, David, Kirschner, Roland (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “-matrix and Baxter -operators for the noncompact invariant spin chain.”
Jordan-Schwinger representations and factorised Yang-Baxter operators.
Additive combinations of special operators
Pei Wu (1994)
Banach Center Publications
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This is a survey paper on additive combinations of certain special-type operators on a Hilbert space. We consider (finite) linear combinations, sums, convex combinations and/or averages of operators from the classes of diagonal operators, unitary operators, isometries, projections, symmetries, idempotents, square-zero operators, nilpotent operators, quasinilpotent operators, involutions, commutators, self-commutators, norm-attaining operators, numerical-radius-attaining operators, irreducible...
A note on Dirac operators on the quantum punctured disk.
Klimek, Slawomir, Mcbride, Matt (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Aggregation, Non-Contradiction and Excluded-Middle.
Ana Pradera, Enric Trillas (2006)
Mathware and Soft Computing
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This paper investigates the satisfaction of the Non-Contradiction (NC) and Excluded-Middle (EM) laws within the domain of aggregation operators. It provides characterizations both for those aggregation operators that satisfy NC/EM with respect to (w.r.t.) some given strong negation, as well as for those satisfying them w.r.t. any strong negation. The results obtained are applied to some of the most important known classes of aggregation operators.
Functions of operators and their commutators in perturbation theory
Yu. Farforovskaya (1994)
Banach Center Publications
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This paper shows some directions of perturbation theory for Lipschitz functions of selfadjoint and normal operators, without giving precise proofs. Some of the ideas discussed are explained informally or for the finite-dimensional case. Several unsolved problems are mentioned.
Quantum super-integrable systems as exactly solvable models.
Fordy, Allan P. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Eigenvectors of open Bazhanov-Stroganov quantum chain.
Iorgov, Nikolai (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Generalizations of Melin's inequality to systems
Raymond Brummelhuis (2001)
Journées équations aux dérivées partielles
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We discuss a recent necessary and sufficient condition for Melin's inequality for a class of systems of pseudodifferential operators.
Asymmetric twin representation: the transfer matrix symmetry.
Doikou, Anastasia (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Symmetries of spin Calogero models.
Caudrelier, Vincent, Crampé, Nicolas (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Compact Composition Operators on Lorentz Spaces
Rajeev Kumar, Romesh Kumar (2005)
Matematički Vesnik
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