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51 p, 698.6 KB Nuclearity and Grothendieck-Lidskii formula for quaternionic operators / Cerejeiras, Paula (Universidade de Aveiro. Departamento de Matemática) ; Colombo, Fabrizio (Politecnico di Milano. Dipartimento di Matematica) ; Debernardi Pinos, Alberto (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Kähler, Uwe (Universidade de Aveiro. Departamento de Matemática) ; Sabadini, Irene (Politecnico di Milano. Dipartimento di Matematica)
We introduce an appropriate notion of trace in the setting of quaternionic linear operators, arising from the well-known companion matrices. We then use this notion to define the quaternionic Fredholm determinant of trace-class operators in Hilbert spaces, and show that an analog of the classical Grothendieck-Lidskii formula, relating the trace of an operator with its eigenvalues, holds. [...]
2024 - 10.1016/j.aim.2024.109558
Advances in mathematics, Vol. 442 (April 2024) , art. 109558  
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2 Colombo, F.
1 Colombo, F.S.
1 Colombo, Fausto
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