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- W1656024348 abstract "We study the vectors related tro states on the Cuntz algebra Ο(sub)n and prove hat, for tow states and on Ο(sub)n with │UHF(sub)n = │UHF(sub)n, if ((s), …, (s(sub)n)) and ((s),…, (s(sub)n)) are unit vectors, then they and linearly dependent. We also study the linear functional on Ο(sub)n associated to a sequence of unit vectors in C(sup)n which is the generalization of the Cuntz state. We show that if the linear functional associated to a sequence of unit vectors with a certain condition is a state, then it is just the Cuntz state." @default.
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- W1656024348 date "2000-01-01" @default.
- W1656024348 modified "2023-09-24" @default.
- W1656024348 title "LINEAR FUCTIONALS ON $O_n$ ASSOCIATED TO UNIT VECTORS" @default.
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