Noncommutative Symmetric Hardy Spaces
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- 作者：Turdebek N. Bekjan
- 关键词：Primary 46L52 ; Secondary 46B20 ; 46L53 ; Subdiagonal subalgebras ; noncommutative Hardy spaces ; noncommutative symmetric spaces
- 刊名：Integral Equations and Operator Theory
- 出版年：2015
- 出版时间：February 2015
- 年：2015
- 卷：81
- 期：2
- 页码：191-212
- 全文大小：363 KB
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文摘
Let \({\mathcal{M}}\) be a von Neumann algebra equipped with a faithful normal normalized tracial state τ. Let \({\mathcal{A}}\) be subdiagonal subalgebra of \({\mathcal{M}}\) , and E be a symmetric quasi Banach space on [0, 1]. We introduce the noncommutative Hardy space \({H_{E}(\mathcal{A})}\) and transfer the recent results of the noncommutative \({H^{p}(\mathcal{A})}\) space, to the noncommutative \({H_{E}(\mathcal{A})}\) space.