Title of article
A characterization of orthogonality preserving operators
Author/Authors
Ansari-piri ، E. - University of Guilan , Sanati ، R.G. - ACECR(Academic Center of Education and Culture Research), Rasht branch , Kardel ، M. - University of Guilan, University Campus 2
Pages
11
From page
2495
To page
2505
Abstract
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.
Keywords
Orthogonality preserving operators , adjoint of operators , isometry , unitary operators
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2017
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456256
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