A note on the Kleinecke-Shirokov theorem and the Wintner-Wielandt-Halmos theorem

Lin, C.-S.

doi:10.1090/S0002-9939-1971-0284846-0

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)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on the Kleinecke-Shirokov theorem and the Wintner-Wielandt-Halmos theorem
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by C.-S. Lin PDF

Proc. Amer. Math. Soc. 27 (1971), 529-530 Request permission

Abstract:

We extend the Kleinecke-Shirokov theorem to the almost commutative case. From this result we prove the Wintner-Wielandt-Halmos theorem.

References

Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368
T. T. West, Riesz operators in Banach spaces, Proc. London Math. Soc. (3) 16 (1966), 131–140. MR 193522, DOI 10.1112/plms/s3-16.1.131
T. T. West, The decomposition of Riesz operators, Proc. London Math. Soc. (3) 16 (1966), 737–752. MR 198258, DOI 10.1112/plms/s3-16.1.737