Displaying similar documents to “On the poles of the local resolvent.”

Chain-finite operators and locally chain-finite operators.

Teresa Bermúdez, Antonio Martinón (1999)

Extracta Mathematicae

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The problem we are concerned with in this research announcement is the algebraic characterization of chain-finite operators (global case) and of locally chain-finite operators (local case).

Locally spectrally bounded linear maps

M. Bendaoud, M. Sarih (2011)

Mathematica Bohemica

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Let ( ) be the algebra of all bounded linear operators on a complex Hilbert space . We characterize locally spectrally bounded linear maps from ( ) onto itself. As a consequence, we describe linear maps from ( ) onto itself that compress the local spectrum.