Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 7, Number 3 (2016), 402-410.
The Hankel operators and noncommutative BMO spaces
Let be a von Neumann algebra with a faithful normal semifinite trace . The noncommutative Hardy space associates with , which is a subdiagonal algebra of . We define the Hankel operator on , and we obtain that the norm is equal to and is also the equivalent of the norm of for every , where are the self-adjoint operators in .
Ann. Funct. Anal., Volume 7, Number 3 (2016), 402-410.
Received: 27 October 2015
Accepted: 4 December 2015
First available in Project Euclid: 17 June 2016
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Yan, Cheng. The Hankel operators and noncommutative BMO spaces. Ann. Funct. Anal. 7 (2016), no. 3, 402--410. doi:10.1215/20088752-3605321. https://projecteuclid.org/euclid.afa/1466164865