Maps Preserving Drazin Invertible Operator Matrices with Non-singular Schur Complement

Maps Preserving Drazin Invertible Operator Matrices with Non-singular Schur Complement

Let B ( H ) be the algebra of all bounded linear operators acting on a complex Hilbert space H . In this paper, we investigate the general form of bijective unital maps Ψ : B ( H ) → B ( H ) , not necessarily linear, that preserve Drazin invertible 2 × 2 operator matrices of index one with generaliz...

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Veröffentlicht in:Mediterranean journal of mathematics 2022-04, Vol.19 (2), Article 70
Hauptverfasser: Khodaiemehr, Hossein, Sady, Fereshteh
Format: Artikel
Sprache:eng
Schlagworte:
Hilbert space
Linear operators
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrices (mathematics)
Operators (mathematics)
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Zusammenfassung:Let B ( H ) be the algebra of all bounded linear operators acting on a complex Hilbert space H . In this paper, we investigate the general form of bijective unital maps Ψ : B ( H ) → B ( H ) , not necessarily linear, that preserve Drazin invertible 2 × 2 operator matrices of index one with generalized Schur complements which are either invertible or Drazin invertible of index one.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-022-01992-w