关于Y. Nakatsukasa的“放宽条件下的tan θ定理”的评论
Comment on `The tan θ theorem with relaxed conditions', by Y. Nakatsukasa
AI总结：
本文指出，在谱范数情形下，Nakatsukasa近期论文中的主要结果是已有tan θ定理的推论，并给出了另一个tan θ定理的有限维矩阵表述。
摘要：
我们证明，在谱范数情形下，Yuji Nakatsukasa近期发表在《Linear Algebra and its Applications》上的论文“放宽条件下的tan θ定理”中的主要结果之一是[V.Kostrykin, K.A.Makarov, and A.K.Motovilov, On the existence of solutions to the operator Riccati equation and the tan θ theorem, IEOT 51 (2005), 121-140]中证明的tan θ定理的推论。我们还给出了[S.Albeverio and A.K.Motovilov, The a priori tan θ theorem for spectral subspaces, IEOT 73 (2012), 413-430]中证明的另一个tan θ定理的另一种有限维矩阵表述。
英文摘要：
We show that in case of the spectral norm, one of the main results of the recent paper "The tan θ theorem with relaxed conditions", by Yuji Nakatsukasa, published in Linear Algebra and its Applications is a corollary of the tan θ theorem proven in [V.Kostrykin, K.A.Makarov, and A.K.Motovilov, On the existence of solutions to the operator Riccati equation and the tan θ theorem, IEOT 51 (2005), 121-140]. We also give an alternative finite-dimensional matrix formulation of another tan θ theorem proven in [S.Albeverio and A.K.Motovilov, The a priori tan θ theorem for spectral subspaces, IEOT 73 (2012), 413-430].
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
