Generalized bi-circular projections on minimal ideals of operators

DOI10.1090/S0002-9939-07-09134-4zbMath1135.47013MaRDI QIDQ5441180

James E. Jamison, Maria Fernanda Botelho

Publication date: 8 February 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

isometryBanach spaceideals of operatorsgeneralised bicircular projections

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Structure theory of linear operators (47A65)

Related Items (12)

Structures of generalized 3-circular projections for symmetric norms ⋮ Generalized 3-circular projections for unitary congruence invariant norms ⋮ Generalized bicircular projections on JB\(^*\)-triples ⋮ Generalized \(n\)-circular projections on JB\(^\ast\)-triples and Hilbert \(C_0(\Omega)\)-modules ⋮ Generalized tricircular projections on minimal norm ideals in \(B(\mathcal{H})\) ⋮ Automorphisms and generalized projections on spaces of analytic functions ⋮ Generalized 𝑛-circular projections on JB*-triples ⋮ Generalized bicircular projections via the operator equation \(\alpha X^2AY^2+\beta XAY+A=0\) ⋮ On functional equation related to a class of generalized inner derivations in prime rings ⋮ Projections as averages of isometries on minimal norm ideals ⋮ Algebraic reflexivity of the isometry group of some spaces of Lipschitz functions ⋮ Projections in the convex hull of isometries on \(C^2 [0,1\)]

Cites Work

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• Contractive Projections on C 0 (K)
• On the Operator Identity ∑ A_kXB_k ≡ 0
• Bicircular projections and characterization of Hilbert spaces
• Hermitian Projections and Orthogonality in Banach Spaces
• Norm-one projections in Banach spaces

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