References
C. A. Akemann, J. Anderson andG. K. Pedersen, Triangle inequalities in operator algebras. Linear and Mulitlinear Algebra11, 167–178 (1982).
J.Bergh and J.Löfström, Interpolation spaces. Berlin-Heidelberg-New York 1976.
A. P. Calderón, Intermediate spaces and interpolation, the complex method. Studia Math.24, 113–190 (1964).
J. Dixmier, Formes linéaires sur un anneau d'opérateurs. Bull. Soc. Math. France81, 9–39 (1953).
J.Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien. Paris 1969.
P. R.Halmos, Measure Theory. New York-Cincinnati-Toronto-London-Melbourne 1950.
T.Kato, Perturbation Theory for Linear Operators. Berlin-Heidelberg-New York 1976.
R. A. Kunze,L p Fourier transforms on locally compact unimodular groups. Trans. Amer. Math. Soc.89, 519–540 (1958).
M. Leinert, Daniell-Stone integration without the lattice condition. Arch. Math.38, 258–265 (1982).
M.Leinert, On integration with respect to a trace. In: Aspects of positivity in Functional Analysis, (ed. Nagel et al.) North Holland Math. Stud.122, 231–239 (1986).
M. Leinert, Integration with respect to a weight. Internat. J. Math.2, 177–182 (1991).
E. Nelson, Notes on non-commutative integration. J. Funct. Anal.15, 103–116 (1974).
M.Reed and B.Simon, Methods of Modern Mathematical Physics I. New York-London 1972.
I. Segal, A non-commutative extension of abstract integration. Ann. of Math. (2)57, 401–457 (1953).
W. F. Stinespring, Integration theorems for gages and duality for unimodular groups. Trans. Amer. Math. Soc.90, 15–56 (1959).
L. Servidei, Different methods of complex interpolation. Bull. Austral. Math. Soc.40, 389–395 (1989).
M.Takesaki, Theory of Operator Algebras I. Berlin-Heidelberg-New York 1979.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Leinert, M. Integration with respect to a trace. Arch. Math 59, 475–486 (1992). https://doi.org/10.1007/BF01236043
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01236043