On the spectrum of Banach algebra-valued entire functions

zbMath1273.47008MaRDI QIDQ358937

Jon P. Bannon, Patrick Cade, Rongwei Yang

Publication date: 9 August 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1373636693

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Topological algebras, normed rings and algebras, Banach algebras (46H99) Banach algebra techniques applied to functions of several complex variables (32A65)

Related Items (11)

Spectral analysis near regular point of reducibility and representations of Coxeter groups ⋮ Joint spectrum and the infinite dihedral group ⋮ Projective joint spectra and characters of representations of \(\tilde{A}_n\) ⋮ On unitary equivalence of compact operator tuples ⋮ Projective spectrum and kernel bundle ⋮ Projective spectrum and cyclic cohomology ⋮ Spectral hypersurfaces for operator pairs and Hadamard matrices of \(F\) type ⋮ Spectral invariants for finite dimensional Lie algebras ⋮ Determinantal hypersurfaces and representations of Coxeter groups ⋮ Hermitian Geometry on Resolvent Set ⋮ Hermitian metric and the infinite dihedral group

Cites Work

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• Trace conditions for regular spectral behavior of vector-valued analytic functions
• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
• Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
• Free Random Variables
• PROJECTIVE SPECTRUM IN BANACH ALGEBRAS
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ

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