Similarity invariants of operators on a class of Gowers-Maurey spaces

DOI10.1007/s11425-012-4448-1zbMath1292.47061OpenAlexW2257946796MaRDI QIDQ365828

Yun Nan Zhang, Huai Jie Zhong, Li Qiong Lin

Publication date: 9 September 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4448-1

zbMATH Keywords

strongly irreducible operators\(K_{0}\)-groupscommutant algebrasGowers-Maurey spaces

Mathematics Subject Classification ID

Structure theory of linear operators (47A65) Algebras of operators on Banach spaces and other topological linear spaces (47L10) (K_0) as an ordered group, traces (19K14)

Related Items (1)

Two classes of operators with irreducibility and the small and compact perturbations of them

Cites Work

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• Strongly irreducible operators on Banach spaces
• Limits of strongly irreducible operators, and the Riesz decomposition theorem
• Similarity of analytic Toeplitz operators on the Bergman spaces
• Small compact perturbation of strongly irreducible operators.
• Similarity classification of holomorphic curves
• K-group and similarity classification of operators
• The Unconditional Basic Sequence Problem
• Strongly Irreducible Operators on Hilbert Space
• Similarity invariants and compact perturbations of hereditarily indecomposable space operators
• Complex geometry and operator theory

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