The paper is concerned with the problem of identifying the norm attaining operators in the von Neumann algebra generated by two orthogonal projections on a Hilbert space. Every skew projection on that Hilbert space is contained in such an algebra and hence the results of the paper also describe functions of skew projections and their adjoints that attain the norm.

中文翻译：

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投影函数的范数达到问题

该论文涉及在由希尔伯特空间上的两个正交投影生成的冯诺依曼代数中识别范数获得算子的问题。该希尔伯特空间上的每个偏斜投影都包含在这样的代数中，因此本文的结果还描述了偏斜投影及其达到范数的伴随函数。