Open AccessNorm Additivity Conditions for Normal Linear Functionals on von Neumann Algebras
Author(s) -
Masaharu Kusuda
Publication year - 1995
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195163922
Subject(s) - mathematics , von neumann architecture , norm (philosophy) , von neumann algebra , bounded function , additive function , pure mathematics , inequality , algebra over a field , combinatorics , discrete mathematics , mathematical analysis , political science , law
Let M be a von Neumann algebra and let (p and y be bounded linear functionals on M. We then have the norm inequality l^ + Vll^ WI + lVl l On the other hand, it is well-known that if (p and if/ are positive, then ||
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