A generalized commutation relation for the regular representation
M. Takesaki (1969)
Bulletin de la Société Mathématique de France
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M. Takesaki (1969)
Bulletin de la Société Mathématique de France
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G. D. Lugovaya, A. N. Sherstnev (2000)
Mathematica Slovaca
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Stanisław Goldstein (1984)
Studia Mathematica
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Wright, Steve (1983)
International Journal of Mathematics and Mathematical Sciences
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Reyes, Edgar N. (1997)
Journal of Lie Theory
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P. De Nápoli, M. C. Mariani (2007)
Studia Mathematica
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This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-separable Hilbert spaces.
Alfons Van Daele (1978)
Bulletin de la Société Mathématique de France
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Santtu Ruotsalainen (2012)
Studia Mathematica
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Antilinear operators on a complex Hilbert space arise in various contexts in mathematical physics. In this paper, an analogue of the Weyl-von Neumann theorem for antilinear self-adjoint operators is proved, i.e. that an antilinear self-adjoint operator is the sum of a diagonalizable operator and of a compact operator with arbitrarily small Schatten p-norm. On the way, we discuss conjugations and their properties. A spectral integral representation for antilinear self-adjoint operators...
László Zsidó (2012)
Banach Center Publications
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The Tomita-Takesaki Theory is very complex and can be contemplated from different points of view. In the decade 1970-1980 several approaches to it appeared, each one seeking to attain more transparency. One of them was the paper of S. L. Woronowicz "Operator systems and their application to the Tomita-Takesaki theory" that appeared in 1979. Woronowicz's approach allows a particularly precise insight into the nature of the Tomita-Takesaki Theory and in this paper we present a brief, but...
A. B. Thaheem (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Jan Hamhalter (1993)
Annales de l'I.H.P. Physique théorique
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