Convergence in trace ideals

Author:
B. Simon

Journal:
Proc. Amer. Math. Soc. **83** (1981), 39-43

MSC:
Primary 47D25; Secondary 47B10

DOI:
https://doi.org/10.1090/S0002-9939-1981-0619977-2

MathSciNet review:
619977

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Abstract: We give an elementary proof of a theorem of Arazy which presents necessary and sufficient conditions on a symmetric sequence so that the associated symmetrically normed trace ideal has the property that if in the weak operator topology and , then .

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DOI:
https://doi.org/10.1090/S0002-9939-1981-0619977-2

Article copyright:
© Copyright 1981
American Mathematical Society