Annals of Functional Analysis

The Hankel operators and noncommutative BMO spaces

Cheng Yan

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Abstract

Let M be a von Neumann algebra with a faithful normal semifinite trace τ. The noncommutative Hardy space Hp(M) associates with A, which is a subdiagonal algebra of M. We define the Hankel operator Ht on Hp(M), and we obtain that the norm Ht is equal to d(t;A) and is also the equivalent of the BMO(Msa) norm of t for every tM, where Msa are the self-adjoint operators in M.

Article information

Source
Ann. Funct. Anal., Volume 7, Number 3 (2016), 402-410.

Dates
Received: 27 October 2015
Accepted: 4 December 2015
First available in Project Euclid: 17 June 2016

Permanent link to this document
https://projecteuclid.org/euclid.afa/1466164865

Digital Object Identifier
doi:10.1215/20088752-3605321

Mathematical Reviews number (MathSciNet)
MR3513124

Zentralblatt MATH identifier
1367.46053

Subjects
Primary: 46L51: Noncommutative measure and integration
Secondary: 46L52: Noncommutative function spaces

Keywords
semifinite von Neumann algebra noncommutative Hardy space Hankel operator noncommutative BMO

Citation

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


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