Article ID Journal Published Year Pages File Type
4599148 Linear Algebra and its Applications 2015 11 Pages PDF
Abstract

We characterize the class of surjective (conjugate) linear mappings Φ:B(H)→B(H)Φ:B(H)→B(H) that preserve the strong Birkhoff–James orthogonality in both directions. We also give characterizations of rank-one operators as well as coisometries in terms of the strong Birkhoff–James orthogonality.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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