CrossRef Open Access 2022 1 sitasi

Fixed points of completely positive maps and its dual maps *

Haiyan Zhang Yanni Dou

Abstrak

Abstract Let A ⊂ B(H) be a row contraction and Φ_A determined by A be a completely positive map on B(H). In this paper, we mainly consider fixed points of Φ_A and its dual map {Φ_A}^ † . It is given that Φ_A(X) ≤ X (or Φ_A(X) ≥ X) implies Φ_A(X) = X and {Φ_A}^ † (X) = X when X ∈ B(H) is a compact operator. Some necessary conditions of Φ_A(X) = X and {Φ_A}^ † (X) = X are given. MR (2010) Subject Classification 47A05; 47A62

Penulis (2)

Haiyan Zhang

Yanni Dou

Format Sitasi

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Zhang, H., Dou, Y. (2022). Fixed points of completely positive maps and its dual maps *. https://doi.org/10.21203/rs.3.rs-2233069/v1

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Total Sitasi: 1×
Sumber Database: CrossRef
DOI: 10.21203/rs.3.rs-2233069/v1
Akses: Open Access ✓