This is an announcement for the paper “Closed subspaces and some basic topological properties of noncommutative Orlicz spaces” by Lining Jiang, Zhenhua Ma. Abstract: In this paper, we study the noncommutative Orlicz space Lφ(˜,τ), which generalizes the concept of noncommutative Lp space, where is a von Neumann algebra, and φ is an Orlicz function. As a modular space, the space Lφ(˜,τ) possesses the Fatou property, and consequently, it is a Banach space. In addition, a new description of the subspace Eφ(˜,τ)=⋂Lφ(˜,τ)⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ in Lφ(˜,τ), which is closed under the norm topology and dense under the measure topology, is given. Moreover, if the Orlicz function φ satisfies the Δ2-condition, then Lφ(˜,τ) is uniformly monotone, and the convergence in the norm topology and measure topology coincide on the unit sphere. Hence, Eφ(˜,τ)=Lφ(˜,τ) if φ satisfies the Δ2-condition. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1601.02941 _______________________________________________ Banach mailing list Banach@mathdept.okstate.edu<mailto:Banach@mathdept.okstate.edu> http://cauchy.math.okstate.edu/cgi-bin/mailman/listinfo/banach Bentuo Zheng Associate Professor, Department of Mathematical Sciences, College of Arts and Sciences [UofM logo] The University of Memphis 359 Dunn Hall Memphis, TN 38152<http://www.memphis.edu/emailsignatures/emailsignaturemac.php#> 901.678<http://www.memphis.edu/emailsignatures/emailsignaturemac.php#>.3534 | memphis.edu<http://www.memphis.edu/> [UofM tw]<https://www.facebook.com/uofmemphis> [UofM tw] <https://twitter.com/uofmemphis> [UofM tw] <https://instagram.com/uofmemphis>