On positive commutators

DOI10.1007/s11117-009-0028-1zbMath1205.47040OpenAlexW2061539422MaRDI QIDQ707867

Janko Bračič, Jaroslav Zemánek, Evgueniy L. Rabkin, Yuliya B. Farforovskaya, Roman Drnovšek

Publication date: 8 October 2010

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-009-0028-1

zbMATH Keywords

Banach latticesspectrumpositive operatorsradicalcommutatorscompact operators

Mathematics Subject Classification ID

Banach lattices (46B42) Commutators, derivations, elementary operators, etc. (47B47) Positive linear operators and order-bounded operators (47B65)

Related Items (9)

On the positive commutator in the radical ⋮ On the dimension of the algebra generated by two positive semi-commuting matrices ⋮ On commuting and semi-commuting positive operators ⋮ On algebras generated by positive operators ⋮ Spectral radius inequalities for positive commutators ⋮ Generation and commutation properties of the Volterra operator ⋮ More on positive commutators ⋮ Full investigation of the matrix equation $AX+XB=C$ and specifically of the equation $AX-XA=C$ ⋮ On the submultiplicativity and subadditivity of the spectral and essential spectral radius

Cites Work

• Spectral theory of Banach space operators. \(C_ k\)-classification, abstract Volterra operators, similarity, spectrality, local spectral analysis
• Similarity of operators associated with the Volterra relation
• Characterizations of the trace
• A primer on spectral theory
• Banach lattices
• Simultaneous triangularization
• Triangularizing semigroups of positive operators on an atomic normed Riesz Space
• On the local spectral radius in partially ordered Banach spaces
• Commutators, C k -Classification, and Similarity of Operators
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