The quasimultiplier conjecture

McKennon, Kelly

doi:10.1090/S0002-9939-1978-0507318-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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The quasimultiplier conjecture
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by Kelly McKennon

Proc. Amer. Math. Soc. 72 (1978), 258-260

DOI: https://doi.org/10.1090/S0002-9939-1978-0507318-0

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Abstract:

It is shown by example that the left and right multipliers of a ${C^\ast }$-algebra do not always span the linear space of quasi-multipliers.

References

Charles A. Akemann and Gert K. Pedersen, Complications of semicontinuity in $C^{\ast }$-algebra theory, Duke Math. J. 40 (1973), 785–795. MR 358361
Kelly McKennon, Quasi-multipliers, Trans. Amer. Math. Soc. 233 (1977), 105–123. MR 458173, DOI 10.1090/S0002-9947-1977-0458173-2