Preservers of unitary group or equivalence by unitaries
| Autor: | Gordana Radić, Tatjana Petek |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Numerical Analysis
Pure mathematics Algebra and Number Theory Mathematics::Operator Algebras Linear operators Hilbert space Unitary state symbols.namesake Unitary group Bounded function Turn (geometry) symbols Bijection Discrete Mathematics and Combinatorics Geometry and Topology Equivalence (measure theory) Mathematics |
| Zdroj: | Linear Algebra and its Applications. 633:1-22 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2021.09.018 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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