First results on spectrally bounded operators

• Autorzy: M. Mathieu , G. J. Schick
• Języki publikacji: EN

Abstrakty

EN

A linear mapping T from a subspace E of a Banach algebra into another Banach algebra is defined to be spectrally bounded if there is a constant M ≥ 0 such that r(Tx) ≤ Mr(x) for all x ∈ E, where r(·) denotes the spectral radius. We study some basic properties of this class of operators, which are sometimes analogous to, sometimes very different from, those of bounded operators between Banach spaces.

Kategorie tematyczne

• 46B99: None of the above, but in this section
• 47B48: Operators on Banach algebras
• 47L10: Algebras of operators on Banach spaces and other topological linear spaces
• 46H40: Automatic continuity
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 152
• Numer: 2
• Strony: 187-199

Daty

wydano

2002

Twórcy

autor

M. Mathieu

• Department of Pure Mathematics, Queen's University Belfast, Belfast BT7 1NN, Northern Ireland

autor

G. J. Schick

• Department of Pure Mathematics, Queen's University Belfast, Belfast BT7 1NN, Northern Ireland

Identyfikatory

DOI

10.4064/sm152-2-6