A characterization of orthogonality preserving operators
نویسندگان
چکیده مقاله:
In this paper, we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$. We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator. Also, we prove that every compact normal operator is a strongly orthogonality preserving operator.
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عنوان ژورنال
دوره 43 شماره 7
صفحات 2495- 2505
تاریخ انتشار 2017-12-30
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