A dilation theorem for operators on Banach spaces

Elena Stroescu

Displaying similar documents to “A dilation theorem for operators on Banach spaces”

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.

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J. Strelcyn (1970)

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On operators factorizable through $L_{p}$ space

Stanislaw Kwapien (1972)

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Local spectral radius formula for operators in Banach spaces

Vladimír Müller (1988)

Czechoslovak Mathematical Journal

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Some questions in operator theory and applications in analysis

James Rovnyak (1982)

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Charles E. Cleaver (1972)

Colloquium Mathematicae

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Completely positive linear operators for Banach spaces.

Yang, Mingze (1994)

International Journal of Mathematics and Mathematical Sciences

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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.