Spectral Decompositions and Decomposable Multipliers.

Jörg Eschmeier

Displaying similar documents to “Spectral Decompositions and Decomposable Multipliers.”

First results on spectrally bounded operators

M. Mathieu, G. J. Schick (2002)

Studia Mathematica

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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.

The single-valued extension property for sums and products of commuting operators

T. L. Miller, Michael M. Neumann (2002)

Czechoslovak Mathematical Journal

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It is shown that the sum and the product of two commuting Banach space operators with Dunford’s property $(C)$ have the single-valued extension property.