Admissibility of Weights on Non-normed *-Algebras

Bhatt, S.; Inoue, A.; Ogi, H.

doi:10.1090/S0002-9947-99-02414-9

Admissibility of Weights on Non-normed $*$-Algebras
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by S. J. Bhatt, A. Inoue and H. Ogi

Trans. Amer. Math. Soc. 351 (1999), 4629-4656

DOI: https://doi.org/10.1090/S0002-9947-99-02414-9

Published electronically: April 12, 1999

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Abstract:

The notion of weights on (topological) $*$-algebras is defined and studied. The primary purpose is to define the notions of admissibility and approximate admissibility of weights, and to investigate when a weight is admissible or approximately admissible. The results obtained are applied to vector weights and tracial weight on unbounded operator algebras, as well as to weights on smooth subalgebras of a C$^*$-algebra.

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