대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제39권3호
  • /
  • Pages.717-729
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  • 2024
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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MAPS PRESERVING GENERALIZED PROJECTION OPERATORS

  • Hassane Benbouziane (Department of Mathematics Faculty of Sciences Dhar El Mahraz University Sidi Mohammed Ben Abdellah) ;
  • Kaddour Chadli (Department of Mathematics Faculty of Sciences Dhar El Mahraz University Sidi Mohammed Ben Abdellah) ;
  • Mustapha Ech-cherif El Kettani (Department of Mathematics Faculty of Sciences Dhar El Mahraz University Sidi Mohammed Ben Abdellah)
  • 투고 : 2023.12.01
  • 심사 : 2024.05.28
  • 발행 : 2024.07.31
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초록

Let 𝓑(H) be the algebra of all bounded linear operators on a Hilbert space H with dim(H) > 2. Let 𝒢𝒫(H) be the subset of 𝓑(H) of all generalized projection operators. In this paper, we give a complete characterization of surjective maps 𝚽 : 𝓑(H) → 𝓑(H) satisfying A-𝛌B ∈ 𝒢𝒫(H) ⇔ 𝚽(A) - 𝛌𝚽(B) ∈ 𝒢𝒫(H) for any A, B ∈ 𝓑(H) and 𝛌 ∈ ℂ.

키워드

과제정보

We thank the reviewers for their valuable comments, which improved the paper's presentation.

참고문헌

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