Some observations on the spectra of positive operators on finite- dimensional C*-algebras

DOI10.1016/0024-3795(82)90150-1zbMath0502.46034OpenAlexW2062732572MaRDI QIDQ1172788

Ulrich Groh

Publication date: 1982

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90150-1

zbMATH Keywords

Perron-Frobenius theoryJordan idealsJordan automorphismJB-subalgebrapositive linear maps on a finite-dimensional C*- algebra

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) General theory of (C^*)-algebras (46L05) Jordan structures on Banach spaces and algebras (17C65) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items

Checking strict positivity of Kraus maps is NP-hard, Peripherally automorphic unital completely positive maps, Random quantum operations, Irreducible positive linear maps on operator algebras, On the Core of a Cone-Preserving Map, On period, cycles and fixed points of a quantum channel, The outer spectral radius and dynamics of completely positive maps, Generating random quantum channels

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The peripheral point spectrum of Schwarz operators on C*-algebras
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Positive operators on the \(n\)-dimensional ice cream cone
• Algebraic Perron-Frobenius theory
• The concepts of irreducibility and full indecomposability of a matrix in the works of Frobenius, König and Markov
• A Gelfand-Neumark theorem for Jordan algebras
• Spektraleigenschaften positiver linearer Operatoren
• Positive linear maps of operator algebras
• Sur une généralisation du groupe orthogonal à quatre variables
• Unzerlegbare, nicht negative Matrizen
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• Spectral Properties of Positive Maps on C^* -Algebras
• On Positive Contractions In L p -Spaces
• Spectral Properties of Matrices which have Invariant Cones
• Positive Linear Maps on C^*-Algebras