Subadditive measure on projectors of von neumann algebra
Abstract
In the paper subadditive measure on the lattice of orthogonal projectors of von Neumann algebra is considered. The basic peoperties of the subadditive measure are estabelished and proved.
References
E. Nelson, Notes on non-commutative integration, J.Funct, Anal. 15 (1974), 103-116.
F. Riez and B. Nagy, Leḉgons d'analyse fonctionnelle, Gauthier-Villars et Acad. Sc. Hongre, Budapest, 1955.
J. von Neumann, Collected Works, vol. III, On rings of operators, Pergamon Press, 1961.
I. Ogasawara and K. Yoshinaga. A non-commutative theory of integration theory for operators, J.Sci.Hiroshima. Univ. Ser.A 18 (3) (1955), 311-347.
Tursunov I.E. Kadirov K. Metrizability of Fuzzy Real Line. Journal of Scientific and Engineering Research (An International Journal). 2018,5 (4): 368-371.
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