Spectral radius formula for commuting Hilbert space operators

doi:https://doi.org/10.4064/sm-103-3-329-333

Open AccessArticle10.4064/sm-103-3-329-333

Spectral radius formula for commuting Hilbert space operators

Andrzej Sołtysiak-1992-01-01-Studia Mathematica

TL;DRAbstract

A formula is given for the (joint) spectral radius of an n-tuple of mutually commuting Hilbert space operators analogous to that for one operator. This gives a positive answer to a conjecture raised by J. W. Bunce in [1].

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A formula is given for the (joint) spectral radius of an n-tuple of mutually commuting Hilbert space operators analogous to that for one operator. This gives a positive answer to a conjecture raised by J. W. Bunce in [1].

Keywords

MathematicsHilbert spaceConjectureSpectral radiusOperator (biology)Operator spaceTupleSpectral theorem

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