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Abstract We give the complete description of bijective real-linear transformations on B ( H ) , the algebra of all bounded linear operators on an infinite-dimensional complex Hilbert space H… Click to show full abstract
Abstract We give the complete description of bijective real-linear transformations on B ( H ) , the algebra of all bounded linear operators on an infinite-dimensional complex Hilbert space H , where every unitary U ∈ B ( H ) is mapped to a unitary ϕ ( U ) . In turn, bijective real-linear maps on B ( H ) preserving equivalence by unitaries will be determined.
Keywords:
equivalence unitaries;
equivalence;
preservers unitary;
group equivalence;
unitary group
Journal Title: Linear Algebra and its Applications
Year Published: 2022
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Journal Title: Linear Algebra and its Applications
Year Published: 2022
Link to full text (if available)
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recommendations!